Solve S^3960244-127-0-17

Question

Simplify the expression

Solution

960244 S^{3} - 144

Evaluate

S^{3} \times 960244 - 127 - 0 - 17

Use the commutative property to reorder the terms

960244 S^{3} - 127 - 0 - 17

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

960244 S^{3} - 127 - 17

Solution

960244 S^{3} - 144

Show Solution

Factor the expression

Factor

4 (240061 S^{3} - 36)

Evaluate

S^{3} \times 960244 - 127 - 0 - 17

Use the commutative property to reorder the terms

960244 S^{3} - 127 - 0 - 17

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

960244 S^{3} - 127 - 17

Subtract the numbers

960244 S^{3} - 144

Solution

4 (240061 S^{3} - 36)

Show Solution

Find the roots

Find the roots of the algebra expression

S = \frac{3 144036 6 ^{2}}{240061}

Alternative Form

S \approx 0.053128

Evaluate

S^{3} \times 960244 - 127 - 0 - 17

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

S^{3} \times 960244 - 127 - 0 - 17 = 0

Use the commutative property to reorder the terms

960244 S^{3} - 127 - 0 - 17 = 0

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

960244 S^{3} - 127 - 17 = 0

Subtract the numbers

960244 S^{3} - 144 = 0

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

960244 S^{3} = 0 + 144

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

960244 S^{3} = 144

Divide both sides

\frac{960244 S ^{3}}{960244} = \frac{144}{960244}

Divide the numbers

S^{3} = \frac{144}{960244}

Cancel out the common factor 4

S^{3} = \frac{36}{240061}

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

3 S^{3} = 3 \frac{36}{240061}

Calculate

S = 3 \frac{36}{240061}

Solution

More Steps

Evaluate

3 \frac{36}{240061}

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

\frac{3 36}{3 240061}

Multiply by the Conjugate

\frac{3 36 \times 3 24006 1 ^{2}}{3 240061 \times 3 24006 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

336 \times 3 24006 1^{2}

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

3 36 \times 24006 1^{2}

Calculate the product

3 144036 6^{2}

\frac{3 144036 6 ^{2}}{3 240061 \times 3 24006 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

3240061 \times 3 24006 1^{2}

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

3 240061 \times 24006 1^{2}

Calculate the product

3 24006 1^{3}

Reduce the index of the radical and exponent with 3

240061

\frac{3 144036 6 ^{2}}{240061}

S = \frac{3 144036 6 ^{2}}{240061}

Alternative Form

S \approx 0.053128

Show Solution

S^3960244 127 0 17

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression