Solve 3x^3-3/33 - ScanMath

Question

Simplify the expression

3 x^{3} - \frac{1}{11}

Evaluate

3 x^{3} - \frac{3}{33}

Solution

3 x^{3} - \frac{1}{11}

Show Solution

\frac{1}{11} (33 x^{3} - 1)

Evaluate

3 x^{3} - \frac{3}{33}

Cancel out the common factor 3

3 x^{3} - \frac{1}{11}

Solution

\frac{1}{11} (33 x^{3} - 1)

Show Solution

x = \frac{3 1089}{33}

Alternative Form

x \approx 0.311766

Evaluate

3 x^{3} - \frac{3}{33}

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

3 x^{3} - \frac{3}{33} = 0

Cancel out the common factor 3

3 x^{3} - \frac{1}{11} = 0

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

3 x^{3} = 0 + \frac{1}{11}

Add the terms

3 x^{3} = \frac{1}{11}

Multiply by the reciprocal

3 x^{3} \times \frac{1}{3} = \frac{1}{11} \times \frac{1}{3}

Multiply

x^{3} = \frac{1}{11} \times \frac{1}{3}

Multiply

More Steps

Evaluate

\frac{1}{11} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{11 \times 3}

Multiply the numbers

\frac{1}{33}

x^{3} = \frac{1}{33}

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

3 x^{3} = 3 \frac{1}{33}

Calculate

x = 3 \frac{1}{33}

Solution

More Steps

Evaluate

3 \frac{1}{33}

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

\frac{3 1}{3 33}

Simplify the radical expression

\frac{1}{3 33}

Multiply by the Conjugate

\frac{3 3 3 ^{2}}{3 33 \times 3 3 3 ^{2}}

Simplify

\frac{3 1089}{3 33 \times 3 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

333 \times 3 3 3^{2}

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

3 33 \times 3 3^{2}

Calculate the product

3 3 3^{3}

Reduce the index of the radical and exponent with 3

33

\frac{3 1089}{33}

x = \frac{3 1089}{33}

Alternative Form

x \approx 0.311766

Show Solution