Solve x^3760-64004

Question

Simplify the expression

760 x^{3} - 64004

Evaluate

x^{3} \times 760 - 64004

Solution

760 x^{3} - 64004

Show Solution

4 (190 x^{3} - 16001)

Evaluate

x^{3} \times 760 - 64004

Use the commutative property to reorder the terms

760 x^{3} - 64004

Solution

4 (190 x^{3} - 16001)

Show Solution

x = \frac{3 577636100}{190}

Alternative Form

x \approx 4.383266

Evaluate

x^{3} \times 760 - 64004

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

x^{3} \times 760 - 64004 = 0

Use the commutative property to reorder the terms

760 x^{3} - 64004 = 0

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

760 x^{3} = 0 + 64004

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

760 x^{3} = 64004

Divide both sides

\frac{760 x ^{3}}{760} = \frac{64004}{760}

Divide the numbers

x^{3} = \frac{64004}{760}

Cancel out the common factor 4

x^{3} = \frac{16001}{190}

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

3 x^{3} = 3 \frac{16001}{190}

Calculate

x = 3 \frac{16001}{190}

Solution

More Steps

Evaluate

3 \frac{16001}{190}

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

\frac{3 16001}{3 190}

Multiply by the Conjugate

\frac{3 16001 \times 3 19 0 ^{2}}{3 190 \times 3 19 0 ^{2}}

Simplify

\frac{3 16001 \times 3 36100}{3 190 \times 3 19 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

316001 \times 336100

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

3 16001 \times 36100

Calculate the product

3577636100

\frac{3 577636100}{3 190 \times 3 19 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3190 \times 3 19 0^{2}

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

3 190 \times 19 0^{2}

Calculate the product

3 19 0^{3}

Reduce the index of the radical and exponent with 3

190

\frac{3 577636100}{190}

x = \frac{3 577636100}{190}

Alternative Form

x \approx 4.383266

Show Solution