Solve 99 s^4200-60

Question

Simplify the expression

19800 s^{4} - 60

Evaluate

99 s^{4} \times 200 - 60

Solution

19800 s^{4} - 60

Show Solution

60 (330 s^{4} - 1)

Evaluate

99 s^{4} \times 200 - 60

Multiply the terms

19800 s^{4} - 60

Solution

60 (330 s^{4} - 1)

Show Solution

s_{1} = - \frac{4 33 0 ^{3}}{330}, s_{2} = \frac{4 33 0 ^{3}}{330}

Alternative Form

s_{1} \approx - 0.234624, s_{2} \approx 0.234624

Evaluate

99 s^{4} \times 200 - 60

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

99 s^{4} \times 200 - 60 = 0

Multiply the terms

19800 s^{4} - 60 = 0

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

19800 s^{4} = 0 + 60

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

19800 s^{4} = 60

Divide both sides

\frac{19800 s ^{4}}{19800} = \frac{60}{19800}

Divide the numbers

s^{4} = \frac{60}{19800}

Cancel out the common factor 60

s^{4} = \frac{1}{330}

Take the root of both sides of the equation and remember to use both positive and negative roots

s = \pm 4 \frac{1}{330}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{330}

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

\frac{4 1}{4 330}

Simplify the radical expression

\frac{1}{4 330}

Multiply by the Conjugate

\frac{4 33 0 ^{3}}{4 330 \times 4 33 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

4330 \times 4 33 0^{3}

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

4 330 \times 33 0^{3}

Calculate the product

4 33 0^{4}

Reduce the index of the radical and exponent with 4

330

\frac{4 33 0 ^{3}}{330}

s = \pm \frac{4 33 0 ^{3}}{330}

Separate the equation into 2 possible cases

s = \frac{4 33 0 ^{3}}{330} s = - \frac{4 33 0 ^{3}}{330}

Solution

s_{1} = - \frac{4 33 0 ^{3}}{330}, s_{2} = \frac{4 33 0 ^{3}}{330}

Alternative Form

s_{1} \approx - 0.234624, s_{2} \approx 0.234624

Show Solution