Solve 9m^2-5 - ScanMath

Evaluate

9 m^{2} - 5

To find the roots of the expression,set the expression equal to 0

9 m^{2} - 5 = 0

Move the constant to the right-hand side and change its sign

9 m^{2} = 0 + 5

Removing 0 doesn't change the value,so remove it from the expression

9 m^{2} = 5

Divide both sides

\frac{9 m ^{2}}{9} = \frac{5}{9}

Divide the numbers

m^{2} = \frac{5}{9}

Take the root of both sides of the equation and remember to use both positive and negative roots

m = \pm \frac{5}{9}

Simplify the expression

More Steps

m = \pm \frac{5}{3}

Separate the equation into 2 possible cases

m = \frac{5}{3} m = - \frac{5}{3}

Solution

m_{1} = - \frac{5}{3}, m_{2} = \frac{5}{3}

Alternative Form

m_{1} \approx - 0.745356, m_{2} \approx 0.745356

Find the roots