Solve 6x^3-4 - ScanMath

Question

Factor the expression

Factor

2 (3 x^{3} - 2)

Evaluate

6 x^{3} - 4

Solution

2 (3 x^{3} - 2)

Show Solution

Find the roots of the algebra expression

x = \frac{3 18}{3}

Alternative Form

x \approx 0.87358

Evaluate

6 x^{3} - 4

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

6 x^{3} - 4 = 0

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

6 x^{3} = 0 + 4

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

6 x^{3} = 4

Divide both sides

\frac{6 x ^{3}}{6} = \frac{4}{6}

Divide the numbers

x^{3} = \frac{4}{6}

Cancel out the common factor 2

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

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

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

Calculate

x = 3 \frac{2}{3}

Solution

More Steps

Evaluate

3 \frac{2}{3}

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

\frac{3 2}{3 3}

Multiply by the Conjugate

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

Simplify

\frac{3 2 \times 3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 39

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

3 2 \times 9

Calculate the product

318

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

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

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

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 18}{3}

x = \frac{3 18}{3}

Alternative Form

x \approx 0.87358

Show Solution