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Find the value of x in the equation x^2 + 6x + 9 = 0.

Practice Questions

Q1

Find the value of x in the equation x^2 + 6x + 9 = 0.

x = -3
x = 3
x = 0
x = -9

Questions & Step-by-Step Solutions

Find the value of x in the equation x^2 + 6x + 9 = 0.

Correct Answer: -3

Step 1: Start with the equation x^2 + 6x + 9 = 0.
Step 2: Recognize that the left side can be factored as a perfect square.
Step 3: Rewrite the equation as (x + 3)(x + 3) = 0.
Step 4: This can also be written as (x + 3)^2 = 0.
Step 5: To solve for x, take the square root of both sides: x + 3 = 0.
Step 6: Subtract 3 from both sides to isolate x: x = -3.

Quadratic Equations – The question tests the ability to solve a quadratic equation, specifically recognizing and factoring a perfect square.
Factoring – The solution involves factoring the quadratic expression into a perfect square.

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