Solve s^310-34-350

Question

Simplify the expression

10 s^{3} - 384

Evaluate

s^{3} \times 10 - 34 - 350

Use the commutative property to reorder the terms

10 s^{3} - 34 - 350

Solution

10 s^{3} - 384

Show Solution

2 (5 s^{3} - 192)

Evaluate

s^{3} \times 10 - 34 - 350

Use the commutative property to reorder the terms

10 s^{3} - 34 - 350

Subtract the numbers

10 s^{3} - 384

Solution

2 (5 s^{3} - 192)

Show Solution

s = \frac{4 3 75}{5}

Alternative Form

s \approx 3.373731

Evaluate

s^{3} \times 10 - 34 - 350

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

s^{3} \times 10 - 34 - 350 = 0

Use the commutative property to reorder the terms

10 s^{3} - 34 - 350 = 0

Subtract the numbers

10 s^{3} - 384 = 0

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

10 s^{3} = 0 + 384

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

10 s^{3} = 384

Divide both sides

\frac{10 s ^{3}}{10} = \frac{384}{10}

Divide the numbers

s^{3} = \frac{384}{10}

Cancel out the common factor 2

s^{3} = \frac{192}{5}

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

3 s^{3} = 3 \frac{192}{5}

Calculate

s = 3 \frac{192}{5}

Solution

More Steps

Evaluate

3 \frac{192}{5}

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

\frac{3 192}{3 5}

Simplify the radical expression

More Steps

Evaluate

3192

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

3 64 \times 3

Write the number in exponential form with the base of 4

3 4^{3} \times 3

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

3 4^{3} \times 33

Reduce the index of the radical and exponent with 3

433

\frac{4 3 3}{3 5}

Multiply by the Conjugate

\frac{4 3 3 \times 3 5 ^{2}}{3 5 \times 3 5 ^{2}}

Simplify

\frac{4 3 3 \times 3 25}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 325

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

3 3 \times 25

Calculate the product

375

\frac{4 3 75}{3 5 \times 3 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 3 5^{2}

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

3 5 \times 5^{2}

Calculate the product

3 5^{3}

Reduce the index of the radical and exponent with 3

5

\frac{4 3 75}{5}

s = \frac{4 3 75}{5}

Alternative Form

s \approx 3.373731

Show Solution