Solving Simple Quadratic Equations Practice

Question

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+3)2=36
.(1 point)
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Remaining Attempts : 3
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Answer 1

To solve the quadratic equation \((x + 3)^2 = 36\) using square roots, follow these steps:

1. Take the square root of both sides: \[ x + 3 = \pm \sqrt{36} \]

2. Calculate the square root: \[ x + 3 = \pm 6 \]

3. Separate into two equations:

   • First equation:
     \[ x + 3 = 6 \]
   • Second equation:
     \[ x + 3 = -6 \]

4. Solve each equation:

   • From \(x + 3 = 6\): \[ x = 6 - 3 \] \[ x = 3 \]

   • From \(x + 3 = -6\): \[ x = -6 - 3 \] \[ x = -9 \]

5. Final Solutions: So, the solutions to the quadratic equation \((x + 3)^2 = 36\) are: \[ x = 3 \quad \text{and} \quad x = -9 \]