Question

CALCULE AS OPERACOES ABAIXO SABENDO QUE 3X+5.B=4X.C=X-2

A) ( B+C) 2A

B) B,(A-C)

Answer 1

A) (B + C) * 2 * A
(4x + x - 2) * 2 * (3x + 5)
(5x - 2) * (6x + 10)
30x² + 50x - 12x - 20 = 0 (Simplificando por 2)

15x² + 19x - 10 = 0
Δ = b² - 4ac
Δ = 19² - 4*15*(-10)
Δ = 961

(-b⁺₋√Δ) / 2 * a
x₁ = (-19 + √961) / 2 * 15
x₁ =  2/5

x₂ = (-19 - √961) / 2 * 15
x₂ = -5/3

B) B*(A-C)
4x * (3x + 5 -x -2)
4x (2x + 3)
8x² +12x = 0

Δ = b² - 4ac
Δ = 12² - 4 * 8 * 0
Δ = 144

(-b⁺₋√Δ) / 2 * a
x₁ = (-12 + √144) / 2 * 8
x₁ = 0

x₂ = (-12 - √144) / 2 * 8
x₂ = -3/2