Solve 6-(5x^5) (22)

Question

Simplify the expression

6 - 110 x^{5}

Evaluate

6 - 5 x^{5} \times 22

Solution

6 - 110 x^{5}

Show Solution

2 (3 - 55 x^{5})

Evaluate

6 - 5 x^{5} \times 22

Multiply the numbers

More Steps

Evaluate

5 \times 22

Multiply the numbers

110

Evaluate

110 x^{5}

6 - 110 x^{5}

Solution

2 (3 - 55 x^{5})

Show Solution

x = \frac{5 3 \times 5 5 ^{4}}{55}

Alternative Form

x \approx 0.558923

Evaluate

6 - (5 x^{5}) \times 22

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

6 - (5 x^{5}) \times 22 = 0

Multiply the terms

6 - 5 x^{5} \times 22 = 0

Multiply the numbers

6 - 110 x^{5} = 0

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

- 110 x^{5} = 0 - 6

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

- 110 x^{5} = - 6

Change the signs on both sides of the equation

110 x^{5} = 6

Divide both sides

\frac{110 x ^{5}}{110} = \frac{6}{110}

Divide the numbers

x^{5} = \frac{6}{110}

Cancel out the common factor 2

x^{5} = \frac{3}{55}

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

5 x^{5} = 5 \frac{3}{55}

Calculate

x = 5 \frac{3}{55}

Solution

More Steps

Evaluate

5 \frac{3}{55}

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

\frac{5 3}{5 55}

Multiply by the Conjugate

\frac{5 3 \times 5 5 5 ^{4}}{5 55 \times 5 5 5 ^{4}}

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

\frac{5 3 \times 5 5 ^{4}}{5 55 \times 5 5 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

555 \times 5 5 5^{4}

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

5 55 \times 5 5^{4}

Calculate the product

5 5 5^{5}

Reduce the index of the radical and exponent with 5

55

\frac{5 3 \times 5 5 ^{4}}{55}

x = \frac{5 3 \times 5 5 ^{4}}{55}

Alternative Form

x \approx 0.558923

Show Solution