Solve 2- (5/6)*x^5

Question

Factor the expression

\frac{1}{6} (12 - 5 x^{5})

Evaluate

2 - \frac{5}{6} x^{5}

Solution

\frac{1}{6} (12 - 5 x^{5})

Show Solution

x = \frac{5 7500}{5}

Alternative Form

x \approx 1.191358

Evaluate

2 - (\frac{5}{6}) x^{5}

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

2 - (\frac{5}{6}) x^{5} = 0

Remove the unnecessary parentheses

2 - \frac{5}{6} x^{5} = 0

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

- \frac{5}{6} x^{5} = 0 - 2

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

- \frac{5}{6} x^{5} = - 2

Change the signs on both sides of the equation

\frac{5}{6} x^{5} = 2

Multiply by the reciprocal

\frac{5}{6} x^{5} \times \frac{6}{5} = 2 \times \frac{6}{5}

Multiply

x^{5} = 2 \times \frac{6}{5}

Multiply

More Steps

Evaluate

2 \times \frac{6}{5}

Multiply the numbers

\frac{2 \times 6}{5}

Multiply the numbers

\frac{12}{5}

x^{5} = \frac{12}{5}

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

5 x^{5} = 5 \frac{12}{5}

Calculate

x = 5 \frac{12}{5}

Solution

More Steps

Evaluate

5 \frac{12}{5}

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

\frac{5 12}{5 5}

Multiply by the Conjugate

\frac{5 12 \times 5 5 ^{4}}{5 5 \times 5 5 ^{4}}

Simplify

\frac{5 12 \times 5 625}{5 5 \times 5 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

512 \times 5625

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

5 12 \times 625

Calculate the product

57500

\frac{5 7500}{5 5 \times 5 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

55 \times 5 5^{4}

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

5 5 \times 5^{4}

Calculate the product

5 5^{5}

Reduce the index of the radical and exponent with 5

5

\frac{5 7500}{5}

x = \frac{5 7500}{5}

Alternative Form

x \approx 1.191358

Show Solution