Solve 20-5x^65 - ScanMath

Question

Simplify the expression

20 - 25 x^{6}

Evaluate

20 - 5 x^{6} \times 5

Solution

20 - 25 x^{6}

Show Solution

5 (4 - 5 x^{6})

Evaluate

20 - 5 x^{6} \times 5

Multiply the terms

20 - 25 x^{6}

Solution

5 (4 - 5 x^{6})

Show Solution

x_{1} = - \frac{6 12500}{5}, x_{2} = \frac{6 12500}{5}

Alternative Form

x_{1} \approx - 0.963492, x_{2} \approx 0.963492

Evaluate

20 - 5 x^{6} \times 5

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

20 - 5 x^{6} \times 5 = 0

Multiply the terms

20 - 25 x^{6} = 0

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

- 25 x^{6} = 0 - 20

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

- 25 x^{6} = - 20

Change the signs on both sides of the equation

25 x^{6} = 20

Divide both sides

\frac{25 x ^{6}}{25} = \frac{20}{25}

Divide the numbers

x^{6} = \frac{20}{25}

Cancel out the common factor 5

x^{6} = \frac{4}{5}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 6 \frac{4}{5}

Simplify the expression

More Steps

Evaluate

6 \frac{4}{5}

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

\frac{6 4}{6 5}

Simplify the radical expression

More Steps

Evaluate

64

Write the number in exponential form with the base of 2

6 2^{2}

Reduce the index of the radical and exponent with 2

32

\frac{3 2}{6 5}

Multiply by the Conjugate

\frac{3 2 \times 6 5 ^{5}}{6 5 \times 6 5 ^{5}}

Simplify

\frac{3 2 \times 6 3125}{6 5 \times 6 5 ^{5}}

Multiply the numbers

More Steps

Evaluate

32 \times 63125

Use n a = mn a^{m} to expand the expression

6 2^{2} \times 63125

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

6 2^{2} \times 3125

Calculate the product

612500

\frac{6 12500}{6 5 \times 6 5 ^{5}}

Multiply the numbers

More Steps

Evaluate

65 \times 6 5^{5}

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

6 5 \times 5^{5}

Calculate the product

6 5^{6}

Reduce the index of the radical and exponent with 6

5

\frac{6 12500}{5}

x = \pm \frac{6 12500}{5}

Separate the equation into 2 possible cases

x = \frac{6 12500}{5} x = - \frac{6 12500}{5}

Solution

x_{1} = - \frac{6 12500}{5}, x_{2} = \frac{6 12500}{5}

Alternative Form

x_{1} \approx - 0.963492, x_{2} \approx 0.963492

Show Solution