Solve -9-6(x^5) - ScanMath

Question

- 9 - 6 x^{5}

Factor the expression

- 3 (3 + 2 x^{5})

Evaluate

- 9 - 6 x^{5}

Solution

- 3 (3 + 2 x^{5})

Show Solution

x = - \frac{5 48}{2}

Alternative Form

x \approx - 1.084472

Evaluate

- 9 - 6 (x^{5})

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

- 9 - 6 (x^{5}) = 0

Calculate

- 9 - 6 x^{5} = 0

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

- 6 x^{5} = 0 + 9

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

- 6 x^{5} = 9

Change the signs on both sides of the equation

6 x^{5} = - 9

Divide both sides

\frac{6 x ^{5}}{6} = \frac{- 9}{6}

Divide the numbers

x^{5} = \frac{- 9}{6}

Divide the numbers

More Steps

Evaluate

\frac{- 9}{6}

Cancel out the common factor 3

\frac{- 3}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{3}{2}

x^{5} = - \frac{3}{2}

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

5 x^{5} = 5 - \frac{3}{2}

Calculate

x = 5 - \frac{3}{2}

Solution

More Steps

Evaluate

5 - \frac{3}{2}

An odd root of a negative radicand is always a negative

- 5 \frac{3}{2}

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

- \frac{5 3}{5 2}

Multiply by the Conjugate

\frac{- 5 3 \times 5 2 ^{4}}{5 2 \times 5 2 ^{4}}

Simplify

\frac{- 5 3 \times 5 16}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

- 53 \times 516

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

- 5 3 \times 16

Calculate the product

- 548

\frac{- 5 48}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

52 \times 5 2^{4}

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

5 2 \times 2^{4}

Calculate the product

5 2^{5}

Reduce the index of the radical and exponent with 5

2

\frac{- 5 48}{2}

Calculate

- \frac{5 48}{2}

x = - \frac{5 48}{2}

Alternative Form

x \approx - 1.084472

Show Solution