Question

Use inspection to solve the equation x2=196 , 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 \( x^2 = 196 \) using inspection, we can look for numbers that, when squared, equal 196.

We can compute:

- \( 14^2 = 196 \)
- \( (-14)^2 = 196 \)

Both \( 14 \) and \( -14 \) satisfy the equation.

Thus, the solution set is:

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

So the correct response is:

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