Quadratic Equations Online Practice

Question

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4 of 204 of 20 Items

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)