Solve 9s-5s^2s-s - ScanMath

Question

Simplify the expression

8 s - 5 s^{3}

Evaluate

9 s - 5 s^{2} \times s - s

Multiply

More Steps

Multiply the terms

- 5 s^{2} \times s

Multiply the terms with the same base by adding their exponents

- 5 s^{2 + 1}

Add the numbers

- 5 s^{3}

9 s - 5 s^{3} - s

Solution

More Steps

Evaluate

9 s - s

Collect like terms by calculating the sum or difference of their coefficients

(9 - 1) s

Subtract the numbers

8 s

8 s - 5 s^{3}

Show Solution

Factor the expression

s (8 - 5 s^{2})

Evaluate

9 s - 5 s^{2} \times s - s

Multiply

More Steps

Multiply the terms

5 s^{2} \times s

Multiply the terms with the same base by adding their exponents

5 s^{2 + 1}

Add the numbers

5 s^{3}

9 s - 5 s^{3} - s

Subtract the terms

More Steps

Evaluate

9 s - s

Collect like terms by calculating the sum or difference of their coefficients

(9 - 1) s

Subtract the numbers

8 s

8 s - 5 s^{3}

Rewrite the expression

s \times 8 - s \times 5 s^{2}

Solution

s (8 - 5 s^{2})

Show Solution

Find the roots

s_{1} = - \frac{2 10}{5}, s_{2} = 0, s_{3} = \frac{2 10}{5}

Alternative Form

s_{1} \approx - 1.264911, s_{2} = 0, s_{3} \approx 1.264911

Evaluate

9 s - 5 s^{2} \times s - s

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

9 s - 5 s^{2} \times s - s = 0

Multiply

More Steps

Multiply the terms

5 s^{2} \times s

Multiply the terms with the same base by adding their exponents

5 s^{2 + 1}

Add the numbers

5 s^{3}

9 s - 5 s^{3} - s = 0

Subtract the terms

More Steps

Simplify

9 s - 5 s^{3} - s

Subtract the terms

More Steps

Evaluate

9 s - s

Collect like terms by calculating the sum or difference of their coefficients

(9 - 1) s

Subtract the numbers

8 s

8 s - 5 s^{3}

8 s - 5 s^{3} = 0

Factor the expression

s (8 - 5 s^{2}) = 0

Separate the equation into 2 possible cases

s = 0 8 - 5 s^{2} = 0

Solve the equation

More Steps

Evaluate

8 - 5 s^{2} = 0

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

- 5 s^{2} = 0 - 8

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

- 5 s^{2} = - 8

Change the signs on both sides of the equation

5 s^{2} = 8

Divide both sides

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

Divide the numbers

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

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

s = \pm \frac{8}{5}

Simplify the expression

More Steps

Evaluate

\frac{8}{5}

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

\frac{8}{5}

Simplify the radical expression

\frac{2 2}{5}

Multiply by the Conjugate

\frac{2 2 \times 5}{5 \times 5}

Multiply the numbers

\frac{2 10}{5 \times 5}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{2 10}{5}

s = \pm \frac{2 10}{5}

Separate the equation into 2 possible cases

s = \frac{2 10}{5} s = - \frac{2 10}{5}

s = 0 s = \frac{2 10}{5} s = - \frac{2 10}{5}

Solution

s_{1} = - \frac{2 10}{5}, s_{2} = 0, s_{3} = \frac{2 10}{5}

Alternative Form

s_{1} \approx - 1.264911, s_{2} = 0, s_{3} \approx 1.264911

Show Solution