Question

Which number line represents all of the values of x for the equation x2 = 36?
@mathstudent55

I will draw the number lines for you :)

Answer 1

\(x^2 = 36\)
Subtract 36 from both sides:
\(x^2 - 36 = 0\)
Factor the left side:
\((x + 6)(x - 6) = 36\)
Set each factor equal to zero and solve:
\(x + 6 = 0 \) or \(x - 6 = 0\)
\(x = -6\) or \(x = 6\)

Answer 2

The answer is a number line with a closed dot on -6 and a closed dot on 6.

Answer 3

ok thanks so much! :)