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What is the solution to the equation x^2 - 9 = 0?

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Question: What is the solution to the equation x^2 - 9 = 0?

Options:

  1. x = 3
  2. x = -3
  3. x = 0
  4. x = 9

Correct Answer: x = 3

Solution: 

Factor: (x - 3)(x + 3) = 0. Solutions are x = 3 and x = -3.

What is the solution to the equation x^2 - 9 = 0?

Practice Questions

Q1
What is the solution to the equation x^2 - 9 = 0?
  1. x = 3
  2. x = -3
  3. x = 0
  4. x = 9

Questions & Step-by-Step Solutions

What is the solution to the equation x^2 - 9 = 0?
  • Step 1: Start with the equation x^2 - 9 = 0.
  • Step 2: Recognize that x^2 - 9 is a difference of squares.
  • 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 gives x = 3.
  • Step 6: Solve the second equation: x + 3 = 0 gives x = -3.
  • Step 7: The solutions to the equation are x = 3 and x = -3.
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