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If x^2 - 9 = 0, what are the values of x?
If x^2 - 9 = 0, what are the values of x?
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Practice Questions
1 question
Q1
If x^2 - 9 = 0, what are the values of x?
-3, 3
0
3
9
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Factoring gives (x - 3)(x + 3) = 0, so x = -3 or x = 3.
Questions & Step-by-step Solutions
1 item
Q
Q: If x^2 - 9 = 0, what are the values of x?
Solution:
Factoring gives (x - 3)(x + 3) = 0, so x = -3 or x = 3.
Steps: 7
Show Steps
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.
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