Solve 3-8(13x^3) - ScanMath

Question

Simplify the expression

3 - 104 x^{3}

Evaluate

3 - 8 \times 13 x^{3}

Solution

3 - 104 x^{3}

Show Solution

x = \frac{3 507}{26}

Alternative Form

x \approx 0.306687

Evaluate

3 - 8 (13 x^{3})

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

3 - 8 (13 x^{3}) = 0

Multiply the terms

3 - 8 \times 13 x^{3} = 0

Multiply the numbers

3 - 104 x^{3} = 0

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

- 104 x^{3} = 0 - 3

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

- 104 x^{3} = - 3

Change the signs on both sides of the equation

104 x^{3} = 3

Divide both sides

\frac{104 x ^{3}}{104} = \frac{3}{104}

Divide the numbers

x^{3} = \frac{3}{104}

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

3 x^{3} = 3 \frac{3}{104}

Calculate

x = 3 \frac{3}{104}

Solution

More Steps

Evaluate

3 \frac{3}{104}

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

\frac{3 3}{3 104}

Simplify the radical expression

More Steps

Evaluate

3104

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 13

Write the number in exponential form with the base of 2

3 2^{3} \times 13

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 313

Reduce the index of the radical and exponent with 3

2313

\frac{3 3}{2 3 13}

Multiply by the Conjugate

\frac{3 3 \times 3 1 3 ^{2}}{2 3 13 \times 3 1 3 ^{2}}

Simplify

\frac{3 3 \times 3 169}{2 3 13 \times 3 1 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3169

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

3 3 \times 169

Calculate the product

3507

\frac{3 507}{2 3 13 \times 3 1 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

2313 \times 3 1 3^{2}

Multiply the terms

2 \times 13

Multiply the terms

26

\frac{3 507}{26}

x = \frac{3 507}{26}

Alternative Form

x \approx 0.306687

Show Solution