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Solve each equation. 37. \( m^{2}=81 \)

Ask by Bowen Gross. in the United States
Mar 19,2025

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\( m = 9 \) or \( m = -9 \)

Solución

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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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!

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