Solve 2 - 23x ^ 3

Question

Find the roots

x = \frac{3 1058}{23}

Alternative Form

x \approx 0.443031

Evaluate

2 - 23 x^{3}

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

2 - 23 x^{3} = 0

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

- 23 x^{3} = 0 - 2

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

- 23 x^{3} = - 2

Change the signs on both sides of the equation

23 x^{3} = 2

Divide both sides

\frac{23 x ^{3}}{23} = \frac{2}{23}

Divide the numbers

x^{3} = \frac{2}{23}

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

3 x^{3} = 3 \frac{2}{23}

Calculate

x = 3 \frac{2}{23}

Solution

More Steps

Evaluate

3 \frac{2}{23}

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

\frac{3 2}{3 23}

Multiply by the Conjugate

\frac{3 2 \times 3 2 3 ^{2}}{3 23 \times 3 2 3 ^{2}}

Simplify

\frac{3 2 \times 3 529}{3 23 \times 3 2 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3529

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

3 2 \times 529

Calculate the product

31058

\frac{3 1058}{3 23 \times 3 2 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

323 \times 3 2 3^{2}

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

3 23 \times 2 3^{2}

Calculate the product

3 2 3^{3}

Reduce the index of the radical and exponent with 3

23

\frac{3 1058}{23}

x = \frac{3 1058}{23}

Alternative Form

x \approx 0.443031

Show Solution