Solve 40s^5-14s - ScanMath

Question

Factor the expression

2 s (20 s^{4} - 7)

Evaluate

40 s^{5} - 14 s

Rewrite the expression

2 s \times 20 s^{4} - 2 s \times 7

Solution

2 s (20 s^{4} - 7)

Show Solution

s_{1} = - \frac{4 3500}{10}, s_{2} = 0, s_{3} = \frac{4 3500}{10}

Alternative Form

s_{1} \approx - 0.769161, s_{2} = 0, s_{3} \approx 0.769161

Evaluate

40 s^{5} - 14 s

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

40 s^{5} - 14 s = 0

Factor the expression

2 s (20 s^{4} - 7) = 0

Divide both sides

s (20 s^{4} - 7) = 0

Separate the equation into 2 possible cases

s = 0 20 s^{4} - 7 = 0

Solve the equation

More Steps

Evaluate

20 s^{4} - 7 = 0

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

20 s^{4} = 0 + 7

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

20 s^{4} = 7

Divide both sides

\frac{20 s ^{4}}{20} = \frac{7}{20}

Divide the numbers

s^{4} = \frac{7}{20}

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

s = \pm 4 \frac{7}{20}

Simplify the expression

More Steps

Evaluate

4 \frac{7}{20}

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

\frac{4 7}{4 20}

Multiply by the Conjugate

\frac{4 7 \times 4 2 0 ^{3}}{4 20 \times 4 2 0 ^{3}}

Simplify

\frac{4 7 \times 2 4 500}{4 20 \times 4 2 0 ^{3}}

Multiply the numbers

\frac{2 4 3500}{4 20 \times 4 2 0 ^{3}}

Multiply the numbers

\frac{2 4 3500}{20}

Cancel out the common factor 2

\frac{4 3500}{10}

s = \pm \frac{4 3500}{10}

Separate the equation into 2 possible cases

s = \frac{4 3500}{10} s = - \frac{4 3500}{10}

s = 0 s = \frac{4 3500}{10} s = - \frac{4 3500}{10}

Solution

s_{1} = - \frac{4 3500}{10}, s_{2} = 0, s_{3} = \frac{4 3500}{10}

Alternative Form

s_{1} \approx - 0.769161, s_{2} = 0, s_{3} \approx 0.769161

Show Solution