SlideShare une entreprise Scribd logo
1  sur  1
IB	MHL		 Page	1	
	
Solving	Equations	Using	z	=	x+iy	
	
By	using	the	z	=	x+iy		solve	the	equation:	
Z2
	=	i	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
Hint:	If	two	complex	numbers	
are	equal	then	their	real	
parts	are	the	same	and	their	
imaginary	parts	are	the	same.	
By	writing	z=x+iy	,	solve	the	following	equations:	
a) (i)	z
2
	=	-4i	 	 (ii)	z2
	=	9i	
b) (i)	z2
=2+2√3i	 	 (ii)	z2
	=	5+i

Contenu connexe

Tendances

Day 17 angle pairs day 3 (variables on both sides)
Day 17 angle pairs day 3 (variables on both sides)Day 17 angle pairs day 3 (variables on both sides)
Day 17 angle pairs day 3 (variables on both sides)
Erik Tjersland
 
Sheet 2 of revision g9
Sheet 2 of revision g9Sheet 2 of revision g9
Sheet 2 of revision g9
zeinabze
 
7th pre alg -l36
7th pre alg -l367th pre alg -l36
7th pre alg -l36
jdurst65
 
Algebra 2 Notes 2-6
Algebra 2 Notes 2-6Algebra 2 Notes 2-6
Algebra 2 Notes 2-6
Kate Nowak
 

Tendances (18)

Embeddings the geometry of relational algebra
Embeddings  the geometry of relational algebraEmbeddings  the geometry of relational algebra
Embeddings the geometry of relational algebra
 
B. SC CSIT Computer Graphics Unit 3 By Tekendra Nath Yogi
B. SC CSIT Computer Graphics Unit 3 By Tekendra Nath YogiB. SC CSIT Computer Graphics Unit 3 By Tekendra Nath Yogi
B. SC CSIT Computer Graphics Unit 3 By Tekendra Nath Yogi
 
Math hssc-ii-a1
Math hssc-ii-a1Math hssc-ii-a1
Math hssc-ii-a1
 
Computer Graphics - Introduction in Brief By: Prof. Manisha Waghmare- Butkar
Computer Graphics - Introduction in Brief By: Prof. Manisha Waghmare- ButkarComputer Graphics - Introduction in Brief By: Prof. Manisha Waghmare- Butkar
Computer Graphics - Introduction in Brief By: Prof. Manisha Waghmare- Butkar
 
Assignments 04
Assignments 04Assignments 04
Assignments 04
 
Day 17 angle pairs day 3 (variables on both sides)
Day 17 angle pairs day 3 (variables on both sides)Day 17 angle pairs day 3 (variables on both sides)
Day 17 angle pairs day 3 (variables on both sides)
 
Fixed point scaling
Fixed point scalingFixed point scaling
Fixed point scaling
 
Sheet 2 of revision g9
Sheet 2 of revision g9Sheet 2 of revision g9
Sheet 2 of revision g9
 
Per5_matrix multiplication
Per5_matrix multiplicationPer5_matrix multiplication
Per5_matrix multiplication
 
7th pre alg -l36
7th pre alg -l367th pre alg -l36
7th pre alg -l36
 
1-1 Guide Notes Teacher Edition - Nets and Drawings for Visualizing Geometry
1-1 Guide Notes Teacher Edition - Nets and Drawings for Visualizing Geometry1-1 Guide Notes Teacher Edition - Nets and Drawings for Visualizing Geometry
1-1 Guide Notes Teacher Edition - Nets and Drawings for Visualizing Geometry
 
Summative Assessment Paper-3
Summative Assessment Paper-3Summative Assessment Paper-3
Summative Assessment Paper-3
 
Observations On X2 + Y2 = 2Z2 - 62W2
Observations On  X2 + Y2 = 2Z2 - 62W2Observations On  X2 + Y2 = 2Z2 - 62W2
Observations On X2 + Y2 = 2Z2 - 62W2
 
Algebra 2 Notes 2-6
Algebra 2 Notes 2-6Algebra 2 Notes 2-6
Algebra 2 Notes 2-6
 
B. SC CSIT Computer Graphics Unit 2 By Tekendra Nath Yogi
B. SC CSIT Computer Graphics Unit 2 By Tekendra Nath YogiB. SC CSIT Computer Graphics Unit 2 By Tekendra Nath Yogi
B. SC CSIT Computer Graphics Unit 2 By Tekendra Nath Yogi
 
Class8 calculus ii
Class8 calculus iiClass8 calculus ii
Class8 calculus ii
 
Maths
MathsMaths
Maths
 
Bsca009
Bsca009Bsca009
Bsca009
 

Plus de jenniech

Lesson 3bi proving euler’s equation without using power series
Lesson 3bi proving euler’s equation without using power seriesLesson 3bi proving euler’s equation without using power series
Lesson 3bi proving euler’s equation without using power series
jenniech
 
Lesson 4 operations with complex numbers in polar form p1 2
Lesson 4 operations with complex numbers in polar form p1 2Lesson 4 operations with complex numbers in polar form p1 2
Lesson 4 operations with complex numbers in polar form p1 2
jenniech
 
Lesson 5 interesting properties of complex conjugates p1 2
Lesson 5 interesting properties of complex conjugates p1 2Lesson 5 interesting properties of complex conjugates p1 2
Lesson 5 interesting properties of complex conjugates p1 2
jenniech
 
Lesson 3 argument polar form of a complex number
Lesson 3 argument polar form of a complex numberLesson 3 argument polar form of a complex number
Lesson 3 argument polar form of a complex number
jenniech
 
Lesson 1 imaginary and complex numbers p1 8
Lesson 1 imaginary and complex numbers p1 8Lesson 1 imaginary and complex numbers p1 8
Lesson 1 imaginary and complex numbers p1 8
jenniech
 
Lesson 1b two interesting questions for you
Lesson 1b two interesting questions for youLesson 1b two interesting questions for you
Lesson 1b two interesting questions for you
jenniech
 
Probability for-ib-standard-level
Probability for-ib-standard-levelProbability for-ib-standard-level
Probability for-ib-standard-level
jenniech
 

Plus de jenniech (20)

Lesson 3bi proving euler’s equation without using power series
Lesson 3bi proving euler’s equation without using power seriesLesson 3bi proving euler’s equation without using power series
Lesson 3bi proving euler’s equation without using power series
 
An introdcution to complex numbers jcw
An introdcution to complex numbers jcwAn introdcution to complex numbers jcw
An introdcution to complex numbers jcw
 
Lesson 8b the solution of z power n
Lesson 8b the solution of z power nLesson 8b the solution of z power n
Lesson 8b the solution of z power n
 
Lesson 8a complex roots of unity
Lesson 8a complex roots of unityLesson 8a complex roots of unity
Lesson 8a complex roots of unity
 
Lesson 6 complex roots of a polynomial equation
Lesson 6  complex roots of a polynomial equationLesson 6  complex roots of a polynomial equation
Lesson 6 complex roots of a polynomial equation
 
Lesson 4 operations with complex numbers in polar form p1 2
Lesson 4 operations with complex numbers in polar form p1 2Lesson 4 operations with complex numbers in polar form p1 2
Lesson 4 operations with complex numbers in polar form p1 2
 
Lesson 3 c reciprocal of a complex number is polar form
Lesson 3 c reciprocal of a complex number is polar formLesson 3 c reciprocal of a complex number is polar form
Lesson 3 c reciprocal of a complex number is polar form
 
Lesson 3b euler’s equation
Lesson 3b euler’s equationLesson 3b euler’s equation
Lesson 3b euler’s equation
 
Lesson 7 de moivre theorem proof by induction
Lesson 7 de moivre theorem proof by inductionLesson 7 de moivre theorem proof by induction
Lesson 7 de moivre theorem proof by induction
 
Lesson 5 interesting properties of complex conjugates p1 2
Lesson 5 interesting properties of complex conjugates p1 2Lesson 5 interesting properties of complex conjugates p1 2
Lesson 5 interesting properties of complex conjugates p1 2
 
Lesson 3 argument polar form of a complex number
Lesson 3 argument polar form of a complex numberLesson 3 argument polar form of a complex number
Lesson 3 argument polar form of a complex number
 
Lesson 1 imaginary and complex numbers p1 8
Lesson 1 imaginary and complex numbers p1 8Lesson 1 imaginary and complex numbers p1 8
Lesson 1 imaginary and complex numbers p1 8
 
Lesson 1b two interesting questions for you
Lesson 1b two interesting questions for youLesson 1b two interesting questions for you
Lesson 1b two interesting questions for you
 
Probability for-ib-standard-level
Probability for-ib-standard-levelProbability for-ib-standard-level
Probability for-ib-standard-level
 
Your rubric multimedia project how tall is the sports block_
Your rubric  multimedia project   how tall is the sports block_Your rubric  multimedia project   how tall is the sports block_
Your rubric multimedia project how tall is the sports block_
 
Finding the magnitude of a vector in 2 d and 3d
Finding the magnitude of a vector in 2 d and 3dFinding the magnitude of a vector in 2 d and 3d
Finding the magnitude of a vector in 2 d and 3d
 
S7 investigating vectors student worksheet (colour)
S7 investigating vectors   student worksheet (colour)S7 investigating vectors   student worksheet (colour)
S7 investigating vectors student worksheet (colour)
 
More scalar product
More scalar productMore scalar product
More scalar product
 
Converting vector equation of a line to cartesian form
Converting vector equation of a line to cartesian formConverting vector equation of a line to cartesian form
Converting vector equation of a line to cartesian form
 
The scalar product form for the equation of a plane
The scalar product form for the equation of a planeThe scalar product form for the equation of a plane
The scalar product form for the equation of a plane
 

Dernier

1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
QucHHunhnh
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
kauryashika82
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 
Seal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxSeal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptx
negromaestrong
 

Dernier (20)

UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
Seal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxSeal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptx