Solve 1914x^3-8 - ScanMath

Question

Factor the expression

2 (957 x^{3} - 4)

Evaluate

1914 x^{3} - 8

Solution

2 (957 x^{3} - 4)

Show Solution

x = \frac{3 191 4 ^{2}}{957}

Alternative Form

x \approx 0.161083

Evaluate

1914 x^{3} - 8

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

1914 x^{3} - 8 = 0

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

1914 x^{3} = 0 + 8

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

1914 x^{3} = 8

Divide both sides

\frac{1914 x ^{3}}{1914} = \frac{8}{1914}

Divide the numbers

x^{3} = \frac{8}{1914}

Cancel out the common factor 2

x^{3} = \frac{4}{957}

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

3 x^{3} = 3 \frac{4}{957}

Calculate

x = 3 \frac{4}{957}

Solution

More Steps

Evaluate

3 \frac{4}{957}

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

\frac{3 4}{3 957}

Multiply by the Conjugate

\frac{3 4 \times 3 95 7 ^{2}}{3 957 \times 3 95 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

34 \times 3 95 7^{2}

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

3 4 \times 95 7^{2}

Calculate the product

3 191 4^{2}

\frac{3 191 4 ^{2}}{3 957 \times 3 95 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

3957 \times 3 95 7^{2}

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

3 957 \times 95 7^{2}

Calculate the product

3 95 7^{3}

Reduce the index of the radical and exponent with 3

957

\frac{3 191 4 ^{2}}{957}

x = \frac{3 191 4 ^{2}}{957}

Alternative Form

x \approx 0.161083

Show Solution