Solve s^355-24-10535

Question

Simplify the expression

55 s^{3} - 10559

Evaluate

s^{3} \times 55 - 24 - 10535

Use the commutative property to reorder the terms

55 s^{3} - 24 - 10535

Solution

55 s^{3} - 10559

Show Solution

s = \frac{3 31940975}{55}

Alternative Form

s \approx 5.768816

Evaluate

s^{3} \times 55 - 24 - 10535

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

s^{3} \times 55 - 24 - 10535 = 0

Use the commutative property to reorder the terms

55 s^{3} - 24 - 10535 = 0

Subtract the numbers

55 s^{3} - 10559 = 0

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

55 s^{3} = 0 + 10559

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

55 s^{3} = 10559

Divide both sides

\frac{55 s ^{3}}{55} = \frac{10559}{55}

Divide the numbers

s^{3} = \frac{10559}{55}

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

3 s^{3} = 3 \frac{10559}{55}

Calculate

s = 3 \frac{10559}{55}

Solution

More Steps

Evaluate

3 \frac{10559}{55}

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

\frac{3 10559}{3 55}

Multiply by the Conjugate

\frac{3 10559 \times 3 5 5 ^{2}}{3 55 \times 3 5 5 ^{2}}

Simplify

\frac{3 10559 \times 3 3025}{3 55 \times 3 5 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

310559 \times 33025

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

3 10559 \times 3025

Calculate the product

331940975

\frac{3 31940975}{3 55 \times 3 5 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

355 \times 3 5 5^{2}

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

3 55 \times 5 5^{2}

Calculate the product

3 5 5^{3}

Reduce the index of the radical and exponent with 3

55

\frac{3 31940975}{55}

s = \frac{3 31940975}{55}

Alternative Form

s \approx 5.768816

Show Solution