Solve 735-7028/99/s^3

Question

Simplify the expression

\frac{72765 s ^{3} - 7028}{99 s ^{3}}

Show Solution

s = 0

Show Solution

s = \frac{3 1004 \times 38 5 ^{2}}{1155}

Alternative Form

s \approx 0.458814

Evaluate

735 - \frac{7028}{99} \div s^{3}

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

735 - \frac{7028}{99} \div s^{3} = 0

The only way a power can not be 0 is when the base not equals 0

735 - \frac{7028}{99} \div s^{3} = 0, s \neq = 0

Calculate

735 - \frac{7028}{99} \div s^{3} = 0

Divide the terms

More Steps

735 - \frac{7028}{99 s ^{3}} = 0

Subtract the terms

More Steps

\frac{72765 s ^{3} - 7028}{99 s ^{3}} = 0

Cross multiply

72765 s^{3} - 7028 = 99 s^{3} \times 0

Simplify the equation

72765 s^{3} - 7028 = 0

Move the constant to the right side

72765 s^{3} = 7028

Divide both sides

\frac{72765 s ^{3}}{72765} = \frac{7028}{72765}

Divide the numbers

s^{3} = \frac{7028}{72765}

Cancel out the common factor 7

s^{3} = \frac{1004}{10395}

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

3 s^{3} = 3 \frac{1004}{10395}

Calculate

s = 3 \frac{1004}{10395}

Simplify the root

More Steps

s = \frac{3 1004 \times 38 5 ^{2}}{1155}

Check if the solution is in the defined range

s = \frac{3 1004 \times 38 5 ^{2}}{1155}, s \neq = 0

Solution

s = \frac{3 1004 \times 38 5 ^{2}}{1155}

Alternative Form

s \approx 0.458814

Show Solution