Solve 5-10x^56 - ScanMath

Question

Simplify the expression

5 - 60 x^{5}

Evaluate

5 - 10 x^{5} \times 6

Solution

5 - 60 x^{5}

Show Solution

5 (1 - 12 x^{5})

Evaluate

5 - 10 x^{5} \times 6

Multiply the terms

5 - 60 x^{5}

Solution

5 (1 - 12 x^{5})

Show Solution

x = \frac{5 648}{6}

Alternative Form

x \approx 0.608364

Evaluate

5 - 10 x^{5} \times 6

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

5 - 10 x^{5} \times 6 = 0

Multiply the terms

5 - 60 x^{5} = 0

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

- 60 x^{5} = 0 - 5

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

- 60 x^{5} = - 5

Change the signs on both sides of the equation

60 x^{5} = 5

Divide both sides

\frac{60 x ^{5}}{60} = \frac{5}{60}

Divide the numbers

x^{5} = \frac{5}{60}

Cancel out the common factor 5

x^{5} = \frac{1}{12}

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

5 x^{5} = 5 \frac{1}{12}

Calculate

x = 5 \frac{1}{12}

Solution

More Steps

Evaluate

5 \frac{1}{12}

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

\frac{5 1}{5 12}

Simplify the radical expression

\frac{1}{5 12}

Multiply by the Conjugate

\frac{5 1 2 ^{4}}{5 12 \times 5 1 2 ^{4}}

Simplify

\frac{2 5 648}{5 12 \times 5 1 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

512 \times 5 1 2^{4}

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

5 12 \times 1 2^{4}

Calculate the product

5 1 2^{5}

Reduce the index of the radical and exponent with 5

12

\frac{2 5 648}{12}

Cancel out the common factor 2

\frac{5 648}{6}

x = \frac{5 648}{6}

Alternative Form

x \approx 0.608364

Show Solution