Question

Use inspection to solve the equation x2=196
. Which is the correct solution set?(1 point)
Responses

{14}
start set 14 end set

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

{−14, 14}
{−14, 14}

{−14}

Answer 1

To solve the equation \( x^2 = 196 \) using inspection, we need to find the values of \( x \) that, when squared, equal 196.

We know that:

\[
14^2 = 196 \quad \text{and} \quad (-14)^2 = 196
\]

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

Therefore, the correct solution set is:

\(\{ -14, 14 \}\)

So the answer is:

{−14, 14}