Question

Resolva:
(X-5) (X-6)= 30

Answer 1

Resposta:

(x-5).(x-6)=30

x²-6x - 5x + 30 = 30

x² - 11x +30 - 30 = 0

x² - 11x = 0

Δ = (-11)²-4.1.0

Δ = 121

x = 11 ± √121

2

x' = 11 + 11 = 11

2

x" = 11 - 11 = 0

2

S = {0;11}

Answer 2

Resposta:

S = { 53; -64 }

Explicação passo-a-passo:

(x-5)(x-6)=30

x² - 11x + 30 = 30

x² - 11x + 30 - 30 = 0

x² - 11x = 0

∆ = b² - 4 × a × c

∆ = 11² - 4 × 1 × 0

∆ = 121 - 4

∆ = 117

x = -B +- √∆ / 2 × a

x = -11 +- √117 / 2 × 1

x' = -11 + 117 / 2 = 106/2 = 54

x" = -11 - 117 / 2 = -128 / 2 = -64

S = { 53; -64 }