Question

Escreva as equações na forma geral e resolva ×(×-2)=2(×+16)

Answer 1

$x(x-2)=2(x+16) x^{2} -2x=2x+32 x^{2} -2x-2x-32=0 x^{2} -4x-32=0$

Answer 2

x(x - 2) = 2(x + 16)
x² - 2x = 2x + 32
x² - 2x - 2x = 32
x² - 4x = 32
x² - 4x - 32 = 0
a = 1
b = -4
c = -32
Δ = (-4)² - 4 * 1 * (-32) = 16 - (-128) = 16 + 128 = 144
x = -(-4) +/- √144/2 * 1 = 4 +/- 12/2
x₁ =  4 + 12/2 = 16/2 = 8
x₂ = 4 - 12/2 = -8/2 = -4