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

Question

• {-9,-15}
• {15,9}
• {-3,-21}
• {-7.5, -16.5}

Answer 1

To solve the equation (x + 12)² = 9 using square roots, we can first take the square root of both sides of the equation. This will give us:

√((x + 12)²) = √9

Simplifying this equation, we have:

x + 12 = ±3

Now, we can solve for x by subtracting 12 from both sides of the equation:

x = -12 ± 3

This gives us two possible solutions:

x = -12 + 3 = -9

x = -12 - 3 = -15

So, the correct answer is:
{-9,-15}