Solve m^22-9 - ScanMath

Question

Simplify the expression

2 m^{2} - 9

Evaluate

m^{2} \times 2 - 9

Solution

2 m^{2} - 9

Show Solution

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

Alternative Form

m_{1} \approx - 2.12132, m_{2} \approx 2.12132

Evaluate

m^{2} \times 2 - 9

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

m^{2} \times 2 - 9 = 0

Use the commutative property to reorder the terms

2 m^{2} - 9 = 0

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

2 m^{2} = 0 + 9

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

2 m^{2} = 9

Divide both sides

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

Divide the numbers

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

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

m = \pm \frac{9}{2}

Simplify the expression

More Steps

Evaluate

\frac{9}{2}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{9}{2}

Simplify the radical expression

More Steps

Evaluate

9

Write the number in exponential form with the base of 3

3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{3}{2}

Multiply by the Conjugate

\frac{3 2}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{3 2}{2}

m = \pm \frac{3 2}{2}

Separate the equation into 2 possible cases

m = \frac{3 2}{2} m = - \frac{3 2}{2}

Solution

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

Alternative Form

m_{1} \approx - 2.12132, m_{2} \approx 2.12132

Show Solution