Solve 3+3m^2025 - ScanMath

Question

Simplify the expression

3 + 75 m^{2}

Evaluate

3 + 3 m^{2} \times 25

Solution

3 + 75 m^{2}

Show Solution

3 (1 + 25 m^{2})

Evaluate

3 + 3 m^{2} \times 25

Multiply the terms

3 + 75 m^{2}

Solution

3 (1 + 25 m^{2})

Show Solution

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

Alternative Form

m_{1} = - 0.2 i, m_{2} = 0.2 i

Evaluate

3 + 3 m^{2} \times 25

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

3 + 3 m^{2} \times 25 = 0

Multiply the terms

3 + 75 m^{2} = 0

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

75 m^{2} = 0 - 3

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

75 m^{2} = - 3

Divide both sides

\frac{75 m ^{2}}{75} = \frac{- 3}{75}

Divide the numbers

m^{2} = \frac{- 3}{75}

Divide the numbers

More Steps

Evaluate

\frac{- 3}{75}

Cancel out the common factor 3

\frac{- 1}{25}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{25}

m^{2} = - \frac{1}{25}

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

m = \pm - \frac{1}{25}

Simplify the expression

More Steps

Evaluate

- \frac{1}{25}

Evaluate the power

\frac{1}{25} \times - 1

Evaluate the power

\frac{1}{25} \times i

Evaluate the power

More Steps

Evaluate

\frac{1}{25}

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

\frac{1}{25}

Simplify the radical expression

\frac{1}{25}

Simplify the radical expression

\frac{1}{5}

\frac{1}{5} i

m = \pm \frac{1}{5} i

Separate the equation into 2 possible cases

m = \frac{1}{5} i m = - \frac{1}{5} i

Solution

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

Alternative Form

m_{1} = - 0.2 i, m_{2} = 0.2 i

Show Solution