Question

Given the function f(x) = x^2 - 2x and g(x) = x what is the solution for the equation x^2 - 2x = x?

A) x = 1, x = 3
B) x = 0, x = 3
C) x = -1, x = 0
D) x = 0, x = 1

Answer 1

x² - 2x = x
x² -3x = 0
x(x-3) = 0

x₁ = 0
x₂ = 3

Answer 2

x²-2x=x

x^2-2x-x=0
x^2-3x=0
x^2=3x
x(x-3)
x=3 x=0