Quadratic Equations Online Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
3 of 203 of 20 Items

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

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

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

{14}
left brace 14 right brace

{−14}
left brace negative 14 right brace
Remaining Attempts : 3
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Answer 1

To solve the equation \(x^2 = 196\) using inspection, we can take the square root of both sides.

Taking the square root, we get:

\[ x = \pm \sqrt{196} \]

Calculating the square root of 196, we find that:

\[ \sqrt{196} = 14 \]

Thus, the solutions are:

\[ x = 14 \quad \text{and} \quad x = -14 \]

Therefore, the solution set is:

\[ { -14, 14 } \]

The correct answer is:

{−14, 14}