Question

Resolva as equações quadráticas usando a fórmula de Bhaskara.
a) - x2 — 6x + 16 = 0
b) - x2 + x + 2 = 0
c) x2 — 12x + 35 = 0
d) —x2 — 15x — 54 = 0
e) x2 — 2x — 63 = 0
f) x2 — 4 = 0
g) x2 — 64 = 0
h) x2 — 11x + 28 = 0​

Answer 1

Resposta:

1) x' = 2

x" = -8

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2)

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2)

Explicação passo-a-passo:

a) - x2 — 6x + 16 = 0

a = -1, b = -6, c = 16

x =[ -b +-√b2 -4ac] / 2a

x = [6 +- √36 - 4.(-1).16]/-2

x = [ 6 +- √100] /-2

x = [ 6 +- 10]/ -2

x' = [ 6 - 10]/ -2

x' = -4/-2  = 2  ==> x' = 2

x" = 16/-2 = -8 ==> x" = -8

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b) - x2 + x + 2 = 0

x = [-b + - √b2 - 4ac]/2a

x = [-1 -√1 + 8] /-2

x = [-1 - 1 + 8 ] /-2

x = 6/-2

x = -3

x = [-1 +√(1 + 8) ] /-2

x = [ -1 + 3 ] /-2

x = 2/-2  ==> x" = -1

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c) x2 — 12x + 35 = 0

d) —x2 — 15x — 54 = 0

e) x2 — 2x — 63 = 0

f) x2 — 4 = 0

x = √4  ==> x' = 2 e  x" = -2

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g) x2 — 64 = 0

x2 = √64

x' = 8

x" = -8

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h) x2 — 11x + 28 = 0​