Question

Find all real solutions of the equation. (Enter your answers as a comma-separated list.)

x2 − x = 0

Answer 1

0,1

Explanation:

x^2 − x = 0

Factor out an x

x(x-1) =0

Using the zero product property

x=0 x-1=0

Solving each equation

x=0 x-1+1 =0+1

x=0 x=1

The solutions are

x=0,1