Solve 3-18x^56 - ScanMath

Question

Simplify the expression

3 - 108 x^{5}

Evaluate

3 - 18 x^{5} \times 6

Solution

3 - 108 x^{5}

Show Solution

3 (1 - 36 x^{5})

Evaluate

3 - 18 x^{5} \times 6

Multiply the terms

3 - 108 x^{5}

Solution

3 (1 - 36 x^{5})

Show Solution

x = \frac{5 216}{6}

Alternative Form

x \approx 0.488359

Evaluate

3 - 18 x^{5} \times 6

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

3 - 18 x^{5} \times 6 = 0

Multiply the terms

3 - 108 x^{5} = 0

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

- 108 x^{5} = 0 - 3

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

- 108 x^{5} = - 3

Change the signs on both sides of the equation

108 x^{5} = 3

Divide both sides

\frac{108 x ^{5}}{108} = \frac{3}{108}

Divide the numbers

x^{5} = \frac{3}{108}

Cancel out the common factor 3

x^{5} = \frac{1}{36}

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

5 x^{5} = 5 \frac{1}{36}

Calculate

x = 5 \frac{1}{36}

Solution

More Steps

Evaluate

5 \frac{1}{36}

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

\frac{5 1}{5 36}

Simplify the radical expression

\frac{1}{5 36}

Multiply by the Conjugate

\frac{5 3 6 ^{4}}{5 36 \times 5 3 6 ^{4}}

Simplify

\frac{6 5 216}{5 36 \times 5 3 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

536 \times 5 3 6^{4}

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

5 36 \times 3 6^{4}

Calculate the product

5 3 6^{5}

Transform the expression

5 6^{10}

Reduce the index of the radical and exponent with 5

6^{2}

\frac{6 5 216}{6 ^{2}}

Reduce the fraction

More Steps

Evaluate

\frac{6}{6 ^{2}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{6 ^{2 - 1}}

Subtract the terms

\frac{1}{6 ^{1}}

Simplify

\frac{1}{6}

\frac{5 216}{6}

x = \frac{5 216}{6}

Alternative Form

x \approx 0.488359

Show Solution