Solve 3-5(114)/5x^5

Question

Simplify the expression

3 - \frac{139}{5} x^{5}

Evaluate

3 - 5 \frac{114}{5} \times x^{5}

Solution

More Steps

Evaluate

5 \frac{114}{5}

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

\frac{5 \times 5 + 114}{5}

Multiply the terms

\frac{25 + 114}{5}

Add the terms

\frac{139}{5}

3 - \frac{139}{5} x^{5}

Show Solution

Factor the expression

\frac{1}{5} (15 - 139 x^{5})

Evaluate

3 - 5 \frac{114}{5} \times x^{5}

Covert the mixed number to an improper fraction

More Steps

Evaluate

5 \frac{114}{5}

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

\frac{5 \times 5 + 114}{5}

Multiply the terms

\frac{25 + 114}{5}

Add the terms

\frac{139}{5}

3 - \frac{139}{5} x^{5}

Solution

\frac{1}{5} (15 - 139 x^{5})

Show Solution

Find the roots

x = \frac{5 15 \times 13 9 ^{4}}{139}

Alternative Form

x \approx 0.640642

Evaluate

3 - 5 \frac{114}{5} \times x^{5}

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

3 - 5 \frac{114}{5} \times x^{5} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

5 \frac{114}{5}

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

\frac{5 \times 5 + 114}{5}

Multiply the terms

\frac{25 + 114}{5}

Add the terms

\frac{139}{5}

3 - \frac{139}{5} x^{5} = 0

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

- \frac{139}{5} x^{5} = 0 - 3

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

- \frac{139}{5} x^{5} = - 3

Change the signs on both sides of the equation

\frac{139}{5} x^{5} = 3

Multiply by the reciprocal

\frac{139}{5} x^{5} \times \frac{5}{139} = 3 \times \frac{5}{139}

Multiply

x^{5} = 3 \times \frac{5}{139}

Multiply

More Steps

Evaluate

3 \times \frac{5}{139}

Multiply the numbers

\frac{3 \times 5}{139}

Multiply the numbers

\frac{15}{139}

x^{5} = \frac{15}{139}

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

5 x^{5} = 5 \frac{15}{139}

Calculate

x = 5 \frac{15}{139}

Solution

More Steps

Evaluate

5 \frac{15}{139}

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

\frac{5 15}{5 139}

Multiply by the Conjugate

\frac{5 15 \times 5 13 9 ^{4}}{5 139 \times 5 13 9 ^{4}}

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

\frac{5 15 \times 13 9 ^{4}}{5 139 \times 5 13 9 ^{4}}

Multiply the numbers

More Steps

Evaluate

5139 \times 5 13 9^{4}

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

5 139 \times 13 9^{4}

Calculate the product

5 13 9^{5}

Reduce the index of the radical and exponent with 5

139

\frac{5 15 \times 13 9 ^{4}}{139}

x = \frac{5 15 \times 13 9 ^{4}}{139}

Alternative Form

x \approx 0.640642

Show Solution