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Completing the square v002
1.
Completing the square Completing
the square of a quadratic equation. Example 1. Colour edition. singaporestudent.com 1
2.
You were asked
to complete the square of this quadratic equation: singaporestudent.com 2
3.
So we put
the equation into our table. 1 2 3 4 singaporestudent.com 3
4.
Highlight the part of
the equation that contain x2 and x only. 1 2 3 Do not highlight the constant. 4 singaporestudent.com 4
5.
Call this expression as
‘p’. 1 2 3 4 singaporestudent.com 5
6.
Rewrite 6x as (2)(3)
x. 1 2 3 4 singaporestudent.com 6
7.
Rewrite 6x as (2)(3)
x. 1 2 3 4 singaporestudent.com 7
8.
Rewrite 6x as (2)(3)
x. 1 2 3 4 We need to do this to apply the formula : a b 2 a 2 2ab b 2 singaporestudent.com 8
9.
Rewrite 6x as (2)(3)
x. 1 2 3 4 We need to do this to apply the formula : a b 2 a 2 2ab b 2 singaporestudent.com a=x b=3 9
10.
1 Add 32 to
p. 2 Call this expression : q 3 4 singaporestudent.com 10
11.
1 Add 32 to
p. 2 Call this expression : q 3 4 a b 2 a 2 2ab b 2 singaporestudent.com a=x b=3 11
12.
1 Add 32 to
p. 2 Call this expression : q 3 4 a b 2 a 2 2ab b 2 a=x b=3 Now we can apply the above formula. singaporestudent.com 12
13.
a b 4 2 a2 2ab b
2 a=x b=3 5 6 7 8 singaporestudent.com 13
14.
a b 4 2 a2 2ab b
2 a=x b=3 5 There! We applied the formula. 6 7 8 singaporestudent.com 14
15.
4 since then 5 6 7 8 singaporestudent.com 15
16.
4 since 5 then 6 7 8 singaporestudent.com 16
17.
4 Simplify y. 5 -9 +
5 is 4 6 7 8 singaporestudent.com 17
18.
Question : Answer : singaporestudent.com 18
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