Solve 3m m-400 - ScanMath

Question

Simplify the expression

3 m^{2} - 400

Evaluate

3 m \times m - 400

Solution

3 m^{2} - 400

Show Solution

m_{1} = - \frac{20 3}{3}, m_{2} = \frac{20 3}{3}

Alternative Form

m_{1} \approx - 11.547005, m_{2} \approx 11.547005

Evaluate

3 m \times m - 400

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

3 m \times m - 400 = 0

Multiply the terms

3 m^{2} - 400 = 0

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

3 m^{2} = 0 + 400

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

3 m^{2} = 400

Divide both sides

\frac{3 m ^{2}}{3} = \frac{400}{3}

Divide the numbers

m^{2} = \frac{400}{3}

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

m = \pm \frac{400}{3}

Simplify the expression

More Steps

Evaluate

\frac{400}{3}

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

\frac{400}{3}

Simplify the radical expression

More Steps

Evaluate

400

Write the number in exponential form with the base of 20

2 0^{2}

Reduce the index of the radical and exponent with 2

20

\frac{20}{3}

Multiply by the Conjugate

\frac{20 3}{3 \times 3}

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

\frac{20 3}{3}

m = \pm \frac{20 3}{3}

Separate the equation into 2 possible cases

m = \frac{20 3}{3} m = - \frac{20 3}{3}

Solution

m_{1} = - \frac{20 3}{3}, m_{2} = \frac{20 3}{3}

Alternative Form

m_{1} \approx - 11.547005, m_{2} \approx 11.547005

Show Solution