Solve 4x^5-10 - ScanMath

Question

Factor the expression

2 (2 x^{5} - 5)

Evaluate

4 x^{5} - 10

Solution

2 (2 x^{5} - 5)

Show Solution

x = \frac{5 80}{2}

Alternative Form

x \approx 1.201124

Evaluate

4 x^{5} - 10

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

4 x^{5} - 10 = 0

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

4 x^{5} = 0 + 10

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

4 x^{5} = 10

Divide both sides

\frac{4 x ^{5}}{4} = \frac{10}{4}

Divide the numbers

x^{5} = \frac{10}{4}

Cancel out the common factor 2

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

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

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

Calculate

x = 5 \frac{5}{2}

Solution

More Steps

Evaluate

5 \frac{5}{2}

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

\frac{5 5}{5 2}

Multiply by the Conjugate

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

Simplify

\frac{5 5 \times 5 16}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

55 \times 516

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

5 5 \times 16

Calculate the product

580

\frac{5 80}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

52 \times 5 2^{4}

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

5 2 \times 2^{4}

Calculate the product

5 2^{5}

Reduce the index of the radical and exponent with 5

2

\frac{5 80}{2}

x = \frac{5 80}{2}

Alternative Form

x \approx 1.201124

Show Solution