Solve 4m^2-6m^4 - ScanMath

Question

Factor the expression

2 m^{2} (2 - 3 m^{2})

Evaluate

4 m^{2} - 6 m^{4}

Rewrite the expression

2 m^{2} \times 2 - 2 m^{2} \times 3 m^{2}

Solution

2 m^{2} (2 - 3 m^{2})

Show Solution

m_{1} = - \frac{6}{3}, m_{2} = 0, m_{3} = \frac{6}{3}

Alternative Form

m_{1} \approx - 0.816497, m_{2} = 0, m_{3} \approx 0.816497

Evaluate

4 m^{2} - 6 m^{4}

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

4 m^{2} - 6 m^{4} = 0

Factor the expression

2 m^{2} (2 - 3 m^{2}) = 0

Divide both sides

m^{2} (2 - 3 m^{2}) = 0

Separate the equation into 2 possible cases

m^{2} = 0 2 - 3 m^{2} = 0

The only way a power can be 0 is when the base equals 0

m = 0 2 - 3 m^{2} = 0

Solve the equation

More Steps

Evaluate

2 - 3 m^{2} = 0

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

- 3 m^{2} = 0 - 2

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

- 3 m^{2} = - 2

Change the signs on both sides of the equation

3 m^{2} = 2

Divide both sides

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

Divide the numbers

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

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

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

Simplify the expression

More Steps

Evaluate

\frac{2}{3}

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

\frac{2}{3}

Multiply by the Conjugate

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

Multiply the numbers

\frac{6}{3 \times 3}

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

\frac{6}{3}

m = \pm \frac{6}{3}

Separate the equation into 2 possible cases

m = \frac{6}{3} m = - \frac{6}{3}

m = 0 m = \frac{6}{3} m = - \frac{6}{3}

Solution

m_{1} = - \frac{6}{3}, m_{2} = 0, m_{3} = \frac{6}{3}

Alternative Form

m_{1} \approx - 0.816497, m_{2} = 0, m_{3} \approx 0.816497

Show Solution