Solve 27s^3-8s - ScanMath

Question

Factor the expression

s (27 s^{2} - 8)

Evaluate

27 s^{3} - 8 s

Rewrite the expression

s \times 27 s^{2} - s \times 8

Solution

s (27 s^{2} - 8)

Show Solution

s_{1} = - \frac{2 6}{9}, s_{2} = 0, s_{3} = \frac{2 6}{9}

Alternative Form

s_{1} \approx - 0.544331, s_{2} = 0, s_{3} \approx 0.544331

Evaluate

27 s^{3} - 8 s

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

27 s^{3} - 8 s = 0

Factor the expression

s (27 s^{2} - 8) = 0

Separate the equation into 2 possible cases

s = 0 27 s^{2} - 8 = 0

Solve the equation

More Steps

Evaluate

27 s^{2} - 8 = 0

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

27 s^{2} = 0 + 8

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

27 s^{2} = 8

Divide both sides

\frac{27 s ^{2}}{27} = \frac{8}{27}

Divide the numbers

s^{2} = \frac{8}{27}

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

s = \pm \frac{8}{27}

Simplify the expression

More Steps

Evaluate

\frac{8}{27}

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

\frac{8}{27}

Simplify the radical expression

\frac{2 2}{27}

Simplify the radical expression

\frac{2 2}{3 3}

Multiply by the Conjugate

\frac{2 2 \times 3}{3 3 \times 3}

Multiply the numbers

\frac{2 6}{3 3 \times 3}

Multiply the numbers

\frac{2 6}{9}

s = \pm \frac{2 6}{9}

Separate the equation into 2 possible cases

s = \frac{2 6}{9} s = - \frac{2 6}{9}

s = 0 s = \frac{2 6}{9} s = - \frac{2 6}{9}

Solution

s_{1} = - \frac{2 6}{9}, s_{2} = 0, s_{3} = \frac{2 6}{9}

Alternative Form

s_{1} \approx - 0.544331, s_{2} = 0, s_{3} \approx 0.544331

Show Solution