Question
Quadratic Equations Online Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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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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Answers
Answered by
GPT-4o mini
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}**
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}**
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