Use inspection to solve the equation x^2=36/169, then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)

Question

Responses

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

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

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

{613}

Answer 1

To solve the equation x^2 = 36/169, we can take the square root of both sides:

√(x^2) = √(36/169)

Simplifying, we get:

|x| = 6/13

This means that x could be either 6/13 or -6/13. Thus, the correct solution set is:

{6/13, -6/13}