Question

1. Resolva a equação.

a) (x+3)(x-4)-52=-x

Answer 1

(x+3)(x-4)-52=-x

(x+3).(x-4)-52=-x

x²-4x+3x-12-52=-x

x²-4x+3x+x-12-52=0

x²-64=0, sendo:

a=1/b=0/c=-64

Δ=0²-4.1.(-64)

Δ=256

Fórmula de Bháskara:

X1) 0+√256/2.1 X2) 0-√256/2.1

16/2 -16/2

8 -8

Resposta: 8 e -8

Answer 2

(x + 3).(x - 4) - 52 = -x

x² - 4x + 3x - 12 - 52 + x = 0

x² - 64 = 0

x² = 64

x = √64

x = ⁺₋8

S = {x ∈ R / x = -8 ou x = 8}