1. Professora Andréia Santana
1) x² - 5x + 6 = 0
a=1
b= – 5
c=6
∆=
∆= (-5)² - 4.1.6
∆= 25 - 24
∆= 1
√∆ ( ) √
2) x² - 8x + 12 = 0
a=1
b= – 8
c=12
∆=
∆= (-8)² - 4.1.12
∆= 64 – 48
∆= 16
√∆ ( ) √

2. Professora Andréia Santana
3) x² + 2x - 8 = 0
a=1
b= 2
c=-8
∆=
∆= 2² - 4.1.(-8)
∆= 4+32
∆= 36
√∆ √
4) x² - 5x + 8 = 0
a=1
b= – 5
c=8
∆=
∆ ( )
∆ –
∆
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3. Professora Andréia Santana
5) 2x² - 8x + 8 = 0
a=2
b= –8
c=8
∆=
∆= (-8)² - 4.2.8
∆= 64-64
∆= 0
√∆ ( ) √
6) x² - 4x - 5 = 0
a=1
b= – 4
c= – 5
∆=
∆= (-4)² - 4.1.(-5)
∆= 16 + 20
∆= 36
√∆ ( ) √

4. Professora Andréia Santana
7) - x² + x + 12 = 0
a= – 1
b= 1
c=12
∆=
∆= 1² - 4.(-1).12
∆= 1+48
∆= 49
√∆ √
( )
8) -x² + 6x - 5 = 0
a= – 1
b= 6
c= – 5
∆=
∆= ( ) ( )
∆= 36 – 20
∆= 16
√∆ √
( )

5. Professora Andréia Santana
9) 6x² + x - 1 = 0
a= 6
b= 1
c= – 1
∆=
∆= ( )
∆= 1+24
∆= 25
√∆ √
10) 3x² - 7x + 2 = 0
a= 6
b= 1
c= – 1
∆=
∆= ( )
∆= 1+24
∆= 25
√∆ √

6. Professora Andréia Santana
11) 2x² - 7x = 15  2x² – 7x – 15 = 0
a=2
b= -7
c= -15
∆=
∆= (-7)² - 4.2.(-15)
∆= 49 + 120
∆= 169
√∆ ( ) √
12) 4x² + 9 = 12x  4x² - 12x + 9 = 0
a=4
b= -12
c= 9
∆=
∆= (-12)² - 4.4.9
∆= 144 - 144
∆= 0
√∆ √

7. Professora Andréia Santana
13) x² = x + 12  x² - x – 12 = 0
a=1
b= 2
c=-8
∆=
∆= 2² - 4.1.(-8)
∆= 4+32
∆= 36
√∆ √
14) 2x² = -12x - 18  2x² +12x + 18 = 0
a=2
b= 12
c=18
∆=
∆= 12² - 4.2.18
∆= 144 - 144
∆= 0
√∆ √

8. Professora Andréia Santana
15) ( x - 5)² = 1
( )( )
a=1
b= -10
c= 24
∆=
∆= (-10)² - 4.1.24
∆= 100 - 96
∆= 4
√∆ ( ) √

9. Professora Andréia Santana
16) 25x² = 20x – 4
a=25
b= -20
c= 4
∆=
∆= (-20)² - 4.25.4
∆= 400 – 400
∆= 0
√∆ ( ) √
17) 2x = 15 – x²
a=1
b= 2
c= -15
∆=
∆= 2² - 4.1.(-15)
∆= 4+60
∆= 64
√∆ √

10. Professora Andréia Santana
18) x² + 3x – 6 = -8
a=1
b= 3
c= 2
∆=
∆= 3² - 4.1.2
∆= 9-8
∆= 1
√∆ √
19) x² + x – 7 = 5
a=1
b= 1
c= -12
∆=
∆= 1² - 4.1.(-12)
∆= 1+48
∆= 49
√∆ √

11. Professora Andréia Santana
20) 4x² - x + 1 = x + 3x²
a=1
b= -2
c= 1
∆=
∆= (-2)² - 4.1.1
∆= 4 - 4
∆= 0
√∆ ( ) √
21) 3x² + 5x = -x – 9 + 2x²
a=1
b= 6
c= 9
∆=
∆= 6² - 4.1.9
∆= 36-36
∆= 0
√∆ √

12. Professora Andréia Santana
22) 4 + x ( x - 4) = x
a=1
b= -5
c= 4
∆=
∆= (-5)² - 4.1.4
∆= 25 - 16
∆= 9
√∆ ( ) √
23) x ( x + 3) – 40 = 0
a=1
b= 3
c= -40
∆=
∆= 3² - 4.1.(-40)
∆= 9+160
∆= 169
√∆ √

13. Professora Andréia Santana
24) x² + 5x + 6 = 0
a=1
b= 5
c= 6
∆=
∆= 5² - 4.1.6
∆= 25-24
∆= 1
√∆ √
25) x² - 7x + 12 = 0
a=1
b= -7
c= 12
∆=
∆= (-7)² - 4.1.12
∆= 49-48
∆= 1
√∆ ( ) √

14. Professora Andréia Santana
26) x² + 5x + 4 = 0
a=1
b= 5
c= 4
∆=
∆= 5² - 4.1.4
∆= 25-16
∆= 9
√∆ √
27) ( 2x - 4)² = 0
( )( )
a=4
b= -16
c= 16
∆=
∆= (-16)² - 4.4.16
∆= 256-256
∆= 0
√∆ ( ) √

15. Professora Andréia Santana
28) x² - 18x + 45 = 0 _____(R:3,15)
a=1
b= -18
c= 45
∆=
∆= (-18)² - 4.1.45
∆= 324 - 180
∆= 144
√∆ ( ) √
29) -x² - x + 30 = 0
a=-1
b= -1
c= 30
∆=
∆= (-1)² - 4.(-1).30
∆= 1 + 120
∆= 121
√∆ ( ) √
( )

16. Professora Andréia Santana
30) x² - 6x + 9 = 0
a=1
b= -6
c= 9
∆=
∆= (-6)² - 4.1.9
∆= 36-36
∆= 0
√∆ ( ) √
31) ( x + 3)² = 1
( )( )
a=1
b= 6
c= 8
∆=
∆= 6² - 4.1.8
∆= 36-32
∆= 4
√∆ √

17. Professora Andréia Santana
32) x² + 3x - 28 = 0 (R: -7,4)
a=1
b= 3
c= -28
∆=
∆= 3² - 4.1.(-28)
∆= 9+112
∆= 121
√∆ √
33) x² - 3 = 4x + 2 (R: -1,5)
a=1
b= -4
c= -5
∆=
∆= (-4)² - 4.1.(-5)
∆= 16+20
∆= 36
√∆ ( ) √