Solve 5m-(3m^5) - ScanMath

Question

Factor the expression

m (5 - 3 m^{4})

Evaluate

5 m - 3 m^{5}

Rewrite the expression

m \times 5 - m \times 3 m^{4}

Solution

m (5 - 3 m^{4})

Show Solution

m_{1} = - \frac{4 135}{3}, m_{2} = 0, m_{3} = \frac{4 135}{3}

Alternative Form

m_{1} \approx - 1.136219, m_{2} = 0, m_{3} \approx 1.136219

Evaluate

5 m - (3 m^{5})

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

5 m - (3 m^{5}) = 0

Multiply the terms

5 m - 3 m^{5} = 0

Factor the expression

m (5 - 3 m^{4}) = 0

Separate the equation into 2 possible cases

m = 0 5 - 3 m^{4} = 0

Solve the equation

More Steps

Evaluate

5 - 3 m^{4} = 0

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

- 3 m^{4} = 0 - 5

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

- 3 m^{4} = - 5

Change the signs on both sides of the equation

3 m^{4} = 5

Divide both sides

\frac{3 m ^{4}}{3} = \frac{5}{3}

Divide the numbers

m^{4} = \frac{5}{3}

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

m = \pm 4 \frac{5}{3}

Simplify the expression

More Steps

Evaluate

4 \frac{5}{3}

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

\frac{4 5}{4 3}

Multiply by the Conjugate

\frac{4 5 \times 4 3 ^{3}}{4 3 \times 4 3 ^{3}}

Simplify

\frac{4 5 \times 4 27}{4 3 \times 4 3 ^{3}}

Multiply the numbers

\frac{4 135}{4 3 \times 4 3 ^{3}}

Multiply the numbers

\frac{4 135}{3}

m = \pm \frac{4 135}{3}

Separate the equation into 2 possible cases

m = \frac{4 135}{3} m = - \frac{4 135}{3}

m = 0 m = \frac{4 135}{3} m = - \frac{4 135}{3}

Solution

m_{1} = - \frac{4 135}{3}, m_{2} = 0, m_{3} = \frac{4 135}{3}

Alternative Form

m_{1} \approx - 1.136219, m_{2} = 0, m_{3} \approx 1.136219

Show Solution