Solve d^350-13-480

Question

Simplify the expression

50 d^{3} - 493

Evaluate

d^{3} \times 50 - 13 - 480

Use the commutative property to reorder the terms

50 d^{3} - 13 - 480

Solution

50 d^{3} - 493

Show Solution

d = \frac{3 9860}{10}

Alternative Form

d \approx 2.144333

Evaluate

d^{3} \times 50 - 13 - 480

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

d^{3} \times 50 - 13 - 480 = 0

Use the commutative property to reorder the terms

50 d^{3} - 13 - 480 = 0

Subtract the numbers

50 d^{3} - 493 = 0

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

50 d^{3} = 0 + 493

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

50 d^{3} = 493

Divide both sides

\frac{50 d ^{3}}{50} = \frac{493}{50}

Divide the numbers

d^{3} = \frac{493}{50}

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

3 d^{3} = 3 \frac{493}{50}

Calculate

d = 3 \frac{493}{50}

Solution

More Steps

Evaluate

3 \frac{493}{50}

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

\frac{3 493}{3 50}

Multiply by the Conjugate

\frac{3 493 \times 3 5 0 ^{2}}{3 50 \times 3 5 0 ^{2}}

Simplify

\frac{3 493 \times 5 3 20}{3 50 \times 3 5 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3493 \times 5320

Multiply the terms

39860 \times 5

Use the commutative property to reorder the terms

539860

\frac{5 3 9860}{3 50 \times 3 5 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

350 \times 3 5 0^{2}

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

3 50 \times 5 0^{2}

Calculate the product

3 5 0^{3}

Reduce the index of the radical and exponent with 3

50

\frac{5 3 9860}{50}

Cancel out the common factor 5

\frac{3 9860}{10}

d = \frac{3 9860}{10}

Alternative Form

d \approx 2.144333

Show Solution