Question

X+4/4=x/x-2
A:{-4,2}
B:{-2,4}
C:{}

Answer 1

The correct answer is B. {-2,4}

Explanation:

Let's solve for x, this way:

x + 4/4 = x /x -2

(x + 4) * ((x - 2) = 4 * x

x² - 2x + 4x -8 = 4x

x² - 2x + 4x -8 - 4x = 0

x² - 2x -8 = 0

(x - 4) * (x +2) = 0

x - 4 = 0

x + 2 = 0

x₁ = 4

x₂ = - 2

The correct answer is B. {-2,4}