Solve 20-2x^53 - ScanMath

Question

Simplify the expression

20 - 6 x^{5}

Evaluate

20 - 2 x^{5} \times 3

Solution

20 - 6 x^{5}

Show Solution

2 (10 - 3 x^{5})

Evaluate

20 - 2 x^{5} \times 3

Multiply the terms

20 - 6 x^{5}

Solution

2 (10 - 3 x^{5})

Show Solution

x = \frac{5 810}{3}

Alternative Form

x \approx 1.27226

Evaluate

20 - 2 x^{5} \times 3

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

20 - 2 x^{5} \times 3 = 0

Multiply the terms

20 - 6 x^{5} = 0

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

- 6 x^{5} = 0 - 20

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

- 6 x^{5} = - 20

Change the signs on both sides of the equation

6 x^{5} = 20

Divide both sides

\frac{6 x ^{5}}{6} = \frac{20}{6}

Divide the numbers

x^{5} = \frac{20}{6}

Cancel out the common factor 2

x^{5} = \frac{10}{3}

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

5 x^{5} = 5 \frac{10}{3}

Calculate

x = 5 \frac{10}{3}

Solution

More Steps

Evaluate

5 \frac{10}{3}

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

\frac{5 10}{5 3}

Multiply by the Conjugate

\frac{5 10 \times 5 3 ^{4}}{5 3 \times 5 3 ^{4}}

Simplify

\frac{5 10 \times 5 81}{5 3 \times 5 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

510 \times 581

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

5 10 \times 81

Calculate the product

5810

\frac{5 810}{5 3 \times 5 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

53 \times 5 3^{4}

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

5 3 \times 3^{4}

Calculate the product

5 3^{5}

Reduce the index of the radical and exponent with 5

3

\frac{5 810}{3}

x = \frac{5 810}{3}

Alternative Form

x \approx 1.27226

Show Solution