Solve 15x^5-6 - ScanMath

Question

Factor the expression

3 (5 x^{5} - 2)

Evaluate

15 x^{5} - 6

Solution

3 (5 x^{5} - 2)

Show Solution

x = \frac{5 1250}{5}

Alternative Form

x \approx 0.832553

Evaluate

15 x^{5} - 6

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

15 x^{5} - 6 = 0

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

15 x^{5} = 0 + 6

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

15 x^{5} = 6

Divide both sides

\frac{15 x ^{5}}{15} = \frac{6}{15}

Divide the numbers

x^{5} = \frac{6}{15}

Cancel out the common factor 3

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

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

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

Calculate

x = 5 \frac{2}{5}

Solution

More Steps

Evaluate

5 \frac{2}{5}

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

\frac{5 2}{5 5}

Multiply by the Conjugate

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

Simplify

\frac{5 2 \times 5 625}{5 5 \times 5 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

52 \times 5625

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

5 2 \times 625

Calculate the product

51250

\frac{5 1250}{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 1250}{5}

x = \frac{5 1250}{5}

Alternative Form

x \approx 0.832553

Show Solution