Solve s^2 125s - 1250000

Question

Simplify the expression

125 s^{3} - 1250000

Evaluate

s^{2} \times 125 s - 1250000

Solution

More Steps

Evaluate

s^{2} \times 125 s

Multiply the terms with the same base by adding their exponents

s^{2 + 1} \times 125

Add the numbers

s^{3} \times 125

Use the commutative property to reorder the terms

125 s^{3}

125 s^{3} - 1250000

Show Solution

125 (s^{3} - 10000)

Evaluate

s^{2} \times 125 s - 1250000

Multiply

More Steps

Evaluate

s^{2} \times 125 s

Multiply the terms with the same base by adding their exponents

s^{2 + 1} \times 125

Add the numbers

s^{3} \times 125

Use the commutative property to reorder the terms

125 s^{3}

125 s^{3} - 1250000

Solution

125 (s^{3} - 10000)

Show Solution

s = 10310

Alternative Form

s \approx 21.544347

Evaluate

s^{2} \times 125 s - 1250000

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

s^{2} \times 125 s - 1250000 = 0

Multiply

More Steps

Multiply the terms

s^{2} \times 125 s

Multiply the terms with the same base by adding their exponents

s^{2 + 1} \times 125

Add the numbers

s^{3} \times 125

Use the commutative property to reorder the terms

125 s^{3}

125 s^{3} - 1250000 = 0

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

125 s^{3} = 0 + 1250000

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

125 s^{3} = 1250000

Divide both sides

\frac{125 s ^{3}}{125} = \frac{1250000}{125}

Divide the numbers

s^{3} = \frac{1250000}{125}

Divide the numbers

More Steps

Evaluate

\frac{1250000}{125}

Reduce the numbers

\frac{10000}{1}

Calculate

10000

s^{3} = 10000

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

3 s^{3} = 310000

Calculate

s = 310000

Solution

More Steps

Evaluate

310000

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

3 1000 \times 10

Write the number in exponential form with the base of 10

3 1 0^{3} \times 10

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

3 1 0^{3} \times 310

Reduce the index of the radical and exponent with 3

10310

s = 10310

Alternative Form

s \approx 21.544347

Show Solution