Solve 58-38s^2 s - ScanMath

Question

Simplify the expression

58 - 38 s^{3}

Evaluate

58 - 38 s^{2} \times s

Solution

More Steps

Evaluate

38 s^{2} \times s

Multiply the terms with the same base by adding their exponents

38 s^{2 + 1}

Add the numbers

38 s^{3}

58 - 38 s^{3}

Show Solution

Factor the expression

2 (29 - 19 s^{3})

Evaluate

58 - 38 s^{2} \times s

Multiply

More Steps

Evaluate

38 s^{2} \times s

Multiply the terms with the same base by adding their exponents

38 s^{2 + 1}

Add the numbers

38 s^{3}

58 - 38 s^{3}

Solution

2 (29 - 19 s^{3})

Show Solution

Find the roots

s = \frac{3 10469}{19}

Alternative Form

s \approx 1.15137

Evaluate

58 - 38 s^{2} \times s

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

58 - 38 s^{2} \times s = 0

Multiply

More Steps

Multiply the terms

38 s^{2} \times s

Multiply the terms with the same base by adding their exponents

38 s^{2 + 1}

Add the numbers

38 s^{3}

58 - 38 s^{3} = 0

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

- 38 s^{3} = 0 - 58

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

- 38 s^{3} = - 58

Change the signs on both sides of the equation

38 s^{3} = 58

Divide both sides

\frac{38 s ^{3}}{38} = \frac{58}{38}

Divide the numbers

s^{3} = \frac{58}{38}

Cancel out the common factor 2

s^{3} = \frac{29}{19}

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

3 s^{3} = 3 \frac{29}{19}

Calculate

s = 3 \frac{29}{19}

Solution

More Steps

Evaluate

3 \frac{29}{19}

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

\frac{3 29}{3 19}

Multiply by the Conjugate

\frac{3 29 \times 3 1 9 ^{2}}{3 19 \times 3 1 9 ^{2}}

Simplify

\frac{3 29 \times 3 361}{3 19 \times 3 1 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

329 \times 3361

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

3 29 \times 361

Calculate the product

310469

\frac{3 10469}{3 19 \times 3 1 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

319 \times 3 1 9^{2}

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

3 19 \times 1 9^{2}

Calculate the product

3 1 9^{3}

Reduce the index of the radical and exponent with 3

19

\frac{3 10469}{19}

s = \frac{3 10469}{19}

Alternative Form

s \approx 1.15137

Show Solution