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
Solve the following quadratic equation using square roots: (x+12)2=9
.(1 point)
Responses

{15,9}
left brace 15 comma negative 9 right brace

{−9,−15}
left brace negative 9 comma negative 15 right brace

{−7.5,−16.5}
left brace negative 7.5 comma negative 16.5 right brace

{−3,−21}
left brace negative 3 comma negative 21 right brace
Remaining Attempts : 3
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Answer 1

To solve the quadratic equation \((x + 12)^2 = 9\) using square roots, we can follow these steps:

1. Take the square root of both sides. Remember to consider both the positive and negative square roots:
\[
x + 12 = 3 \quad \text{or} \quad x + 12 = -3
\]

2. Solve each equation for \(x\):

For the first equation:
\[
x + 12 = 3
\]
\[
x = 3 - 12
\]
\[
x = -9
\]

For the second equation:
\[
x + 12 = -3
\]
\[
x = -3 - 12
\]
\[
x = -15
\]

3. Therefore, the solutions are:
\[
x = -9 \quad \text{and} \quad x = -15
\]

Thus, the answer is \(\{-9, -15\}\).

**Response:** {−9,−15} (left brace negative 9 comma negative 15 right brace)