Question

4 - Resolva as equações usando a fórmula de Bhaskara:

a) x² - 7x + 6 = 0
b) x² + 3x - 10 = 0
c) x² + 4x =4 = 0
d) x² – 7x + 10 = 0
e) x - 3x - 4 = 0​

Answer 1

Explicação passo-a-passo:

a) x² - 7x + 6 = 0

a= 1; b = -7; c = 6

D = -7² - 4 . 1 . 6

D = 49 - 24

D = 25

x' = -(-7) + 5

2 .1

x' = 7 + 5

2

x' = 12

2

x' = 6

x" = -(-7) - 5

2 .1

x" = 7 - 5

2

x'' = 2

2

x'' = 1

b) x² + 3x - 10 = 0

a= 1; b = 3; c = -10

D = 3² - 4 . 1 . (-10)

D = 9 + 40

D = 49

x' = -3 + 7

2 .1

x' = -3 + 7

2

x' = 4

2

x' = 2

x" = -3 - 7

2 .1

x" = -3 - 7

2

x'' = -10

2

x'' = -5

c) x² + 4x + 4 = 0

a= 1; b = 4; c = 4

D = 4² - 4 . 1 . 4

D = 16 - 16

D = 0

x' = -4 + 0

2 .1

x' = -4 + 0

2

x' = -4

2

x' = -2

x" = -4 - 0

2 .1

x" = -4 - 0

2

x'' = -4

2

x'' = -2

d) x² – 7x + 10 = 0

a= 1; b = -7; c = 10

D = -7² - 4 . 1 . 10

D = 49 - 40

D = 9

x' = -(-7) + 3

2 .1

x' = 7 + 3

2

x' = 10

2

x' = 5

x" = -(-7) - 3

2 .1

x" = 7 - 3

2

x'' = 4

2

x'' = 2

e) x² - 3x - 4 = 0

a= 1; b = -3; c = -4

D = -3² - 4 . 1 . (-4)

D = 9 + 16

D = 25

x' = -(-3) + 5

2 .1

x' = 3 + 5

2

x' = 8

2

x' = 4

x" = -(-3) - 5

2 .1

x" = 3 - 5

2

x'' = -2

2

x'' = -1