The equation factors to (x - 3)(x + 3) = 0, giving solutions x = 3 and x = -3.
Solve for x: x^2 - 9 = 0.
Practice Questions
Q1
Solve for x: x^2 - 9 = 0.
-3
3
0
±3
Questions & Step-by-Step Solutions
Solve for x: 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, 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 gives x = 3.
Step 6: Solve the second equation: x + 3 = 0 gives x = -3.
Step 7: The solutions are x = 3 and x = -3.
Factoring Quadratic Equations – The question tests the ability to factor a simple quadratic equation and find its roots.
Zero Product Property – The question assesses understanding of the zero product property, which states that if the product of two factors is zero, at least one of the factors must be zero.
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