Solve 3m m-107 - ScanMath

Question

Simplify the expression

3 m^{2} - 107

Evaluate

3 m \times m - 107

Solution

3 m^{2} - 107

Show Solution

m_{1} = - \frac{321}{3}, m_{2} = \frac{321}{3}

Alternative Form

m_{1} \approx - 5.972158, m_{2} \approx 5.972158

Evaluate

3 m \times m - 107

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

3 m \times m - 107 = 0

Multiply the terms

3 m^{2} - 107 = 0

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

3 m^{2} = 0 + 107

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

3 m^{2} = 107

Divide both sides

\frac{3 m ^{2}}{3} = \frac{107}{3}

Divide the numbers

m^{2} = \frac{107}{3}

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

m = \pm \frac{107}{3}

Simplify the expression

More Steps

Evaluate

\frac{107}{3}

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

\frac{107}{3}

Multiply by the Conjugate

\frac{107 \times 3}{3 \times 3}

Multiply the numbers

More Steps

Evaluate

107 \times 3

The product of roots with the same index is equal to the root of the product

107 \times 3

Calculate the product

321

\frac{321}{3 \times 3}

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

\frac{321}{3}

m = \pm \frac{321}{3}

Separate the equation into 2 possible cases

m = \frac{321}{3} m = - \frac{321}{3}

Solution

m_{1} = - \frac{321}{3}, m_{2} = \frac{321}{3}

Alternative Form

m_{1} \approx - 5.972158, m_{2} \approx 5.972158

Show Solution