Question

Solve $x^{2}=36$ by inspection. There are two real solutions Enter the lesser number first.
(1 point)
$\{ \square ,\square \} $

Answer 1

To solve the equation \( x^2 = 36 \) by inspection, we need to find the values of \( x \) that satisfy this equation.

We know that:

\[
x^2 = 36
\]

Taking the square root of both sides, we have:

\[
x = \pm \sqrt{36}
\]

Calculating the square root:

\[
\sqrt{36} = 6
\]

Thus, the solutions are:

\[
x = 6 \quad \text{and} \quad x = -6
\]

The lesser of the two solutions is \(-6\) and the greater is \(6\). Therefore, the solutions in order are:

\[
\{ -6, 6 \}
\]

So the final answer is:

\[
\{ -6, 6 \}
\]