Question
Solve the equation: \( x^{2}-49=0 \) Answer: \( x=\square \)
Ask by Reeves Haynes. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 7 \) or \( x = -7 \)
Solution
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The Deep Dive
To solve the equation \( x^{2} - 49 = 0 \), you can start by recognizing that this is a difference of squares. It can be factored as \( (x - 7)(x + 7) = 0 \). This gives us two possible solutions: \( x - 7 = 0 \) or \( x + 7 = 0 \). Thus, you find the solutions to be \( x = 7 \) and \( x = -7 \). So the answer is \( x = 7 \) or \( x = -7 \).