Solve m-17m^5 - ScanMath

Question

Factor the expression

m (1 - 17 m^{4})

Evaluate

m - 17 m^{5}

Rewrite the expression

m - m \times 17 m^{4}

Solution

m (1 - 17 m^{4})

Show Solution

m_{1} = - \frac{4 4913}{17}, m_{2} = 0, m_{3} = \frac{4 4913}{17}

Alternative Form

m_{1} \approx - 0.492479, m_{2} = 0, m_{3} \approx 0.492479

Evaluate

m - 17 m^{5}

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

m - 17 m^{5} = 0

Factor the expression

m (1 - 17 m^{4}) = 0

Separate the equation into 2 possible cases

m = 0 1 - 17 m^{4} = 0

Solve the equation

More Steps

Evaluate

1 - 17 m^{4} = 0

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

- 17 m^{4} = 0 - 1

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

- 17 m^{4} = - 1

Change the signs on both sides of the equation

17 m^{4} = 1

Divide both sides

\frac{17 m ^{4}}{17} = \frac{1}{17}

Divide the numbers

m^{4} = \frac{1}{17}

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

m = \pm 4 \frac{1}{17}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{17}

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

\frac{4 1}{4 17}

Simplify the radical expression

\frac{1}{4 17}

Multiply by the Conjugate

\frac{4 1 7 ^{3}}{4 17 \times 4 1 7 ^{3}}

Simplify

\frac{4 4913}{4 17 \times 4 1 7 ^{3}}

Multiply the numbers

\frac{4 4913}{17}

m = \pm \frac{4 4913}{17}

Separate the equation into 2 possible cases

m = \frac{4 4913}{17} m = - \frac{4 4913}{17}

m = 0 m = \frac{4 4913}{17} m = - \frac{4 4913}{17}

Solution

m_{1} = - \frac{4 4913}{17}, m_{2} = 0, m_{3} = \frac{4 4913}{17}

Alternative Form

m_{1} \approx - 0.492479, m_{2} = 0, m_{3} \approx 0.492479

Show Solution