Question

solve for ( m ). express your answer as an integer or integers or in simplest radical form. (-13 = 7 - 5m^2)

Explanation:

Step1: Isolate the term with \( m^2 \)

Subtract 7 from both sides of the equation:
\( -13 - 7 = 7 - 5m^2 - 7 \)
\( -20 = -5m^2 \)

Step2: Solve for \( m^2 \)

Divide both sides by -5:
\( \frac{-20}{-5} = \frac{-5m^2}{-5} \)
\( 4 = m^2 \)

Step3: Solve for \( m \)

Take the square root of both sides:
\( m = \pm\sqrt{4} \)
\( m = \pm 2 \)

Answer:

\( m = 2 \) or \( m = -2 \)