Solve 2m^2-13m^6 - ScanMath

Question

Factor the expression

m^{2} (2 - 13 m^{4})

Evaluate

2 m^{2} - 13 m^{6}

Rewrite the expression

m^{2} \times 2 - m^{2} \times 13 m^{4}

Solution

m^{2} (2 - 13 m^{4})

Show Solution

m_{1} = - \frac{4 4394}{13}, m_{2} = 0, m_{3} = \frac{4 4394}{13}

Alternative Form

m_{1} \approx - 0.626284, m_{2} = 0, m_{3} \approx 0.626284

Evaluate

2 m^{2} - 13 m^{6}

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

2 m^{2} - 13 m^{6} = 0

Factor the expression

m^{2} (2 - 13 m^{4}) = 0

Separate the equation into 2 possible cases

m^{2} = 0 2 - 13 m^{4} = 0

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

m = 0 2 - 13 m^{4} = 0

Solve the equation

More Steps

Evaluate

2 - 13 m^{4} = 0

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

- 13 m^{4} = 0 - 2

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

- 13 m^{4} = - 2

Change the signs on both sides of the equation

13 m^{4} = 2

Divide both sides

\frac{13 m ^{4}}{13} = \frac{2}{13}

Divide the numbers

m^{4} = \frac{2}{13}

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

m = \pm 4 \frac{2}{13}

Simplify the expression

More Steps

Evaluate

4 \frac{2}{13}

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

\frac{4 2}{4 13}

Multiply by the Conjugate

\frac{4 2 \times 4 1 3 ^{3}}{4 13 \times 4 1 3 ^{3}}

Simplify

\frac{4 2 \times 4 2197}{4 13 \times 4 1 3 ^{3}}

Multiply the numbers

\frac{4 4394}{4 13 \times 4 1 3 ^{3}}

Multiply the numbers

\frac{4 4394}{13}

m = \pm \frac{4 4394}{13}

Separate the equation into 2 possible cases

m = \frac{4 4394}{13} m = - \frac{4 4394}{13}

m = 0 m = \frac{4 4394}{13} m = - \frac{4 4394}{13}

Solution

m_{1} = - \frac{4 4394}{13}, m_{2} = 0, m_{3} = \frac{4 4394}{13}

Alternative Form

m_{1} \approx - 0.626284, m_{2} = 0, m_{3} \approx 0.626284

Show Solution