Question

Use inspection to solve the equation x2=36169
, then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
Responses

There are no real solutions.
There are no real solutions.

{−613,613}
left brace negative Start Fraction 6 over 13 End Fraction comma Start Fraction 6 over 13 End Fraction right brace

{−613}
left brace negative Start Fraction 6 over 13 End Fraction right brace

{613}

Answer 1

To solve the equation \( x^2 = 36169 \), we can take the square root of both sides.

The square roots of \( 36169 \) are \( 613 \) and \( -613 \) (since squaring either of these numbers gives us \( 36169 \)).

Therefore, the solution set is:

\[
\{ -613, 613 \}
\]

Thus, the correct response is:

\(\{ -613, 613 \}\)