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11 grade maths others

Solve x² - 9 = 0.

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9 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer9 Months ago

To solve the equation x² - 9 = 0, we can start by recognizing that this is a difference of squares. The equation can be factored as follows:

Factoring the Equation

The expression x² - 9 can be rewritten using the formula a² - b² = (a - b)(a + b). Here, a is x and b is 3:

  • x² - 9 = (x - 3)(x + 3)

Setting Each Factor to Zero

Next, we set each factor equal to zero to find the values of x:

  • x - 3 = 0 → x = 3
  • x + 3 = 0 → x = -3

Final Solutions

The solutions to the equation x² - 9 = 0 are:

  • x = 3
  • x = -3

Thus, the values of x that satisfy the equation are 3 and -3.

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