Solve 9x^3006-3 - ScanMath

Question

Simplify the expression

Solution

54 x^{3} - 3

Evaluate

9 x^{3} \times 6 - 3

Solution

54 x^{3} - 3

Show Solution

Factor

3 (18 x^{3} - 1)

Evaluate

9 x^{3} \times 6 - 3

Multiply the terms

54 x^{3} - 3

Solution

3 (18 x^{3} - 1)

Show Solution

Find the roots of the algebra expression

x = \frac{3 12}{6}

Alternative Form

x \approx 0.381571

Evaluate

9 x^{3} \times 6 - 3

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

9 x^{3} \times 6 - 3 = 0

Multiply the terms

54 x^{3} - 3 = 0

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

54 x^{3} = 0 + 3

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

54 x^{3} = 3

Divide both sides

\frac{54 x ^{3}}{54} = \frac{3}{54}

Divide the numbers

x^{3} = \frac{3}{54}

Cancel out the common factor 3

x^{3} = \frac{1}{18}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{1}{18}

Calculate

x = 3 \frac{1}{18}

Solution

More Steps

Evaluate

3 \frac{1}{18}

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

\frac{3 1}{3 18}

Simplify the radical expression

\frac{1}{3 18}

Multiply by the Conjugate

\frac{3 1 8 ^{2}}{3 18 \times 3 1 8 ^{2}}

Simplify

\frac{3 3 12}{3 18 \times 3 1 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

318 \times 3 1 8^{2}

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

3 18 \times 1 8^{2}

Calculate the product

3 1 8^{3}

Reduce the index of the radical and exponent with 3

18

\frac{3 3 12}{18}

Cancel out the common factor 3

\frac{3 12}{6}

x = \frac{3 12}{6}

Alternative Form

x \approx 0.381571

Show Solution