Solve 40s^5-13s - ScanMath

Question

Factor the expression

s (40 s^{4} - 13)

Evaluate

40 s^{5} - 13 s

Rewrite the expression

s \times 40 s^{4} - s \times 13

Solution

s (40 s^{4} - 13)

Show Solution

s_{1} = - \frac{4 3250}{10}, s_{2} = 0, s_{3} = \frac{4 3250}{10}

Alternative Form

s_{1} \approx - 0.755042, s_{2} = 0, s_{3} \approx 0.755042

Evaluate

40 s^{5} - 13 s

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

40 s^{5} - 13 s = 0

Factor the expression

s (40 s^{4} - 13) = 0

Separate the equation into 2 possible cases

s = 0 40 s^{4} - 13 = 0

Solve the equation

More Steps

Evaluate

40 s^{4} - 13 = 0

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

40 s^{4} = 0 + 13

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

40 s^{4} = 13

Divide both sides

\frac{40 s ^{4}}{40} = \frac{13}{40}

Divide the numbers

s^{4} = \frac{13}{40}

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

s = \pm 4 \frac{13}{40}

Simplify the expression

More Steps

Evaluate

4 \frac{13}{40}

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

\frac{4 13}{4 40}

Multiply by the Conjugate

\frac{4 13 \times 4 4 0 ^{3}}{4 40 \times 4 4 0 ^{3}}

Simplify

\frac{4 13 \times 4 4 250}{4 40 \times 4 4 0 ^{3}}

Multiply the numbers

\frac{4 4 3250}{4 40 \times 4 4 0 ^{3}}

Multiply the numbers

\frac{4 4 3250}{40}

Cancel out the common factor 4

\frac{4 3250}{10}

s = \pm \frac{4 3250}{10}

Separate the equation into 2 possible cases

s = \frac{4 3250}{10} s = - \frac{4 3250}{10}

s = 0 s = \frac{4 3250}{10} s = - \frac{4 3250}{10}

Solution

s_{1} = - \frac{4 3250}{10}, s_{2} = 0, s_{3} = \frac{4 3250}{10}

Alternative Form

s_{1} \approx - 0.755042, s_{2} = 0, s_{3} \approx 0.755042

Show Solution