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Which of the following is a solution to the equation x^2 - 4 = 0?
Which of the following is a solution to the equation x^2 - 4 = 0?
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Practice Questions
1 question
Q1
Which of the following is a solution to the equation x^2 - 4 = 0?
-2
0
2
Both -2 and 2
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The equation factors to (x - 2)(x + 2) = 0, giving solutions x = -2 and x = 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is a solution to the equation x^2 - 4 = 0?
Solution:
The equation factors to (x - 2)(x + 2) = 0, giving solutions x = -2 and x = 2.
Steps: 7
Show Steps
Step 1: Start with the equation x^2 - 4 = 0.
Step 2: Recognize that x^2 - 4 is a difference of squares, which can be factored.
Step 3: Factor the equation into (x - 2)(x + 2) = 0.
Step 4: Set each factor equal to zero: x - 2 = 0 and x + 2 = 0.
Step 5: Solve the first equation x - 2 = 0 to find x = 2.
Step 6: Solve the second equation x + 2 = 0 to find x = -2.
Step 7: The solutions to the equation are x = 2 and x = -2.
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