Use inspection to solve the equation x2=196

Question

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

{14}
left brace 14 right brace

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

{−14}
left brace negative 14 right brace

{−14,14}

Answer 1

To solve the equation \( x^2 = 196 \) by inspection, we can determine the values of \( x \) that satisfy the equation.

We know that:

• \( 14^2 = 196 \)
• and \( (-14)^2 = 196 \).

Thus, the solutions to the equation are \( x = 14 \) and \( x = -14 \).

Therefore, the correct solution set is:

\({-14, 14}\)