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If x^2 - 9 = 0, what are the values of x?

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Question: If x^2 - 9 = 0, what are the values of x?

Options:

  1. -3, 3
  2. 0
  3. 3
  4. 9

Correct Answer: -3, 3

Solution: 

Factoring gives (x - 3)(x + 3) = 0, so x = -3 or x = 3.

If x^2 - 9 = 0, what are the values of x?

Practice Questions

Q1
If x^2 - 9 = 0, what are the values of x?
  1. -3, 3
  2. 0
  3. 3
  4. 9

Questions & Step-by-Step Solutions

If x^2 - 9 = 0, what are the values of x?
Correct Answer: x = -3 or x = 3
  • Step 1: Start with the equation x^2 - 9 = 0.
  • Step 2: Recognize that x^2 - 9 is a difference of squares, which can be factored.
  • Step 3: Factor the equation into (x - 3)(x + 3) = 0.
  • Step 4: Set each factor equal to zero: x - 3 = 0 and x + 3 = 0.
  • Step 5: Solve the first equation x - 3 = 0 to find x = 3.
  • Step 6: Solve the second equation x + 3 = 0 to find x = -3.
  • Step 7: Conclude that the values of x are -3 and 3.
  • Quadratic Equations – Understanding how to solve quadratic equations by factoring.
  • Zero Product Property – Applying the zero product property to find the roots of a factored equation.
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