Use inspection to solve the equation x2=36169

Question

, then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
Responses

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

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}

Answer 1

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

\[ x = \pm \sqrt{36169} \]

Calculating \(\sqrt{36169}\):

\[ \sqrt{36169} = 189 \]

So the solutions for \(x\) are:

\[ x = 189 \quad \text{and} \quad x = -189 \]

Thus, the correct solution set is:

\[ {-189, 189} \]

However, since this specific response isn't listed, the answer should be:

\({-613, 613}\)

Given the context of the equation, it appears the actual value provided in your message might be incorrect since \(\sqrt{36169}\) should equal 189, not \(\frac{6}{13}\). Therefore, none of the options you provided correspond to the correct values.

If the correct solution set were to be presented, it would be \({-189, 189}\). In conclusion, if the given options are definitive, then there is no correct selection among the choices listed.