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

{−14,14}
left brace negative 14 comma 14 right brace

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

{14}
left brace 14 right brace

{−14}

Answer 1

To solve the equation \( x^2 = 196 \) by inspection, we can look for numbers that, when squared, equal 196.

We know that:
- \( 14^2 = 196 \)
- \( (-14)^2 = 196 \)

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

The correct solution set is:

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