Solve 40s^5-10 - ScanMath

Question

Factor the expression

10 (4 s^{5} - 1)

Evaluate

40 s^{5} - 10

Solution

10 (4 s^{5} - 1)

Show Solution

s = \frac{5 8}{2}

Alternative Form

s \approx 0.757858

Evaluate

40 s^{5} - 10

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

40 s^{5} - 10 = 0

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

40 s^{5} = 0 + 10

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

40 s^{5} = 10

Divide both sides

\frac{40 s ^{5}}{40} = \frac{10}{40}

Divide the numbers

s^{5} = \frac{10}{40}

Cancel out the common factor 10

s^{5} = \frac{1}{4}

Take the 5 -th root on both sides of the equation

5 s^{5} = 5 \frac{1}{4}

Calculate

s = 5 \frac{1}{4}

Solution

More Steps

Evaluate

5 \frac{1}{4}

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

\frac{5 1}{5 4}

Simplify the radical expression

\frac{1}{5 4}

Multiply by the Conjugate

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

Simplify

\frac{2 5 8}{5 4 \times 5 4 ^{4}}

Multiply the numbers

More Steps

Evaluate

54 \times 5 4^{4}

The product of roots with the same index is equal to the root of the product

5 4 \times 4^{4}

Calculate the product

5 4^{5}

Transform the expression

5 2^{10}

Reduce the index of the radical and exponent with 5

2^{2}

\frac{2 5 8}{2 ^{2}}

Reduce the fraction

More Steps

Evaluate

\frac{2}{2 ^{2}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{2 ^{2 - 1}}

Subtract the terms

\frac{1}{2 ^{1}}

Simplify

\frac{1}{2}

\frac{5 8}{2}

s = \frac{5 8}{2}

Alternative Form

s \approx 0.757858

Show Solution