Solve 5-5x^55 - ScanMath

Question

Simplify the expression

5 - 25 x^{5}

Evaluate

5 - 5 x^{5} \times 5

Solution

5 - 25 x^{5}

Show Solution

5 (1 - 5 x^{5})

Evaluate

5 - 5 x^{5} \times 5

Multiply the terms

5 - 25 x^{5}

Solution

5 (1 - 5 x^{5})

Show Solution

x = \frac{5 625}{5}

Alternative Form

x \approx 0.72478

Evaluate

5 - 5 x^{5} \times 5

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

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

Multiply the terms

5 - 25 x^{5} = 0

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

- 25 x^{5} = 0 - 5

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

- 25 x^{5} = - 5

Change the signs on both sides of the equation

25 x^{5} = 5

Divide both sides

\frac{25 x ^{5}}{25} = \frac{5}{25}

Divide the numbers

x^{5} = \frac{5}{25}

Cancel out the common factor 5

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

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

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

Calculate

x = 5 \frac{1}{5}

Solution

More Steps

Evaluate

5 \frac{1}{5}

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

\frac{5 1}{5 5}

Simplify the radical expression

\frac{1}{5 5}

Multiply by the Conjugate

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

Simplify

\frac{5 625}{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{5 625}{5}

x = \frac{5 625}{5}

Alternative Form

x \approx 0.72478

Show Solution