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If x^2 - 6x + 9 = 0, what is the value of x?

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Question: If x^2 - 6x + 9 = 0, what is the value of x?

Options:

  1. 3
  2. 6
  3. 9
  4. 0

Correct Answer: 3

Solution: 

This is a perfect square: (x - 3)^2 = 0, so x = 3.

If x^2 - 6x + 9 = 0, what is the value of x?

Practice Questions

Q1
If x^2 - 6x + 9 = 0, what is the value of x?
  1. 3
  2. 6
  3. 9
  4. 0

Questions & Step-by-Step Solutions

If x^2 - 6x + 9 = 0, what is the value of x?
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: Add 3 to 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 to find the roots.
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