Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( m = 9 \) or \( m = -9 \)
Solution
1. Start with the equation:
\[
m^2 = 81
\]
2. Take the square root of both sides:
\[
m = \pm\sqrt{81}
\]
3. Calculate the square root:
\[
\sqrt{81} = 9
\]
4. Therefore, the solutions are:
\[
m = 9 \quad \text{or} \quad m = -9
\]
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Simplify this solution The Deep Dive
To solve the equation \( m^{2} = 81 \), take the square root of both sides. Remember that the square root can yield both a positive and a negative solution. So, we have \( m = 9 \) and \( m = -9 \). Thus, the solutions to the equation are \( m = 9 \) and \( m = -9 \). Another fun fact is that squaring a number can lead to two possible roots because both \( 9 \) and \( -9 \) produce the same square. This can often be used in various problems involving quadratic equations!
