Solve 5x^5-5 5/5 - ScanMath

Question

Simplify the expression

5 x^{5} - 6

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

5 \frac{5}{5}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{5 \times 5 + 5}{5}

Multiply the terms

\frac{25 + 5}{5}

Add the terms

\frac{30}{5}

5 x^{5} - \frac{30}{5}

Solution

5 x^{5} - 6

Show Solution

x = \frac{5 3750}{5}

Alternative Form

x \approx 1.037137

Evaluate

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

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

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

5 \frac{5}{5}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{5 \times 5 + 5}{5}

Multiply the terms

\frac{25 + 5}{5}

Add the terms

\frac{30}{5}

5 x^{5} - \frac{30}{5} = 0

Calculate

5 x^{5} - 6 = 0

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

5 x^{5} = 0 + 6

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

5 x^{5} = 6

Divide both sides

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

Divide the numbers

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

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

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

Calculate

x = 5 \frac{6}{5}

Solution

More Steps

Evaluate

5 \frac{6}{5}

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

\frac{5 6}{5 5}

Multiply by the Conjugate

\frac{5 6 \times 5 5 ^{4}}{5 5 \times 5 5 ^{4}}

Simplify

\frac{5 6 \times 5 625}{5 5 \times 5 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

56 \times 5625

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

5 6 \times 625

Calculate the product

53750

\frac{5 3750}{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 3750}{5}

x = \frac{5 3750}{5}

Alternative Form

x \approx 1.037137

Show Solution