Question
Solve the equation \( m^{2}-100=0 \) by factoring. \( m=\square \) If there is more than 1 solution, separate the values with a comma.
Ask by Grant Hills. in the United States
Feb 27,2025
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Answer
m = 10, -10
Solution
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Bonus Knowledge
To solve the equation \( m^{2}-100=0 \) by factoring, we can recognize that this is a difference of squares. It can be factored as follows: \[ m^{2} - 10^{2} = (m - 10)(m + 10) = 0 \] Setting each factor equal to zero gives us the solutions: 1. \( m - 10 = 0 \) leads to \( m = 10 \) 2. \( m + 10 = 0 \) leads to \( m = -10 \) Thus, the solutions are \( m = 10, -10 \).