Solve 2 m^2-7 - ScanMath

Evaluate

2 m^{2} - 7

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

2 m^{2} - 7 = 0

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

2 m^{2} = 0 + 7

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

2 m^{2} = 7

Divide both sides

\frac{2 m ^{2}}{2} = \frac{7}{2}

Divide the numbers

m^{2} = \frac{7}{2}

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

m = \pm \frac{7}{2}

Simplify the expression

More Steps

m = \pm \frac{14}{2}

Separate the equation into 2 possible cases

m = \frac{14}{2} m = - \frac{14}{2}

Solution

m_{1} = - \frac{14}{2}, m_{2} = \frac{14}{2}

Alternative Form

m_{1} \approx - 1.870829, m_{2} \approx 1.870829

Find the roots