Solve s^550-18-601

Question

Simplify the expression

50 s^{5} - 619

Evaluate

s^{5} \times 50 - 18 - 601

Use the commutative property to reorder the terms

50 s^{5} - 18 - 601

Solution

50 s^{5} - 619

Show Solution

s = \frac{5 619 \times 5 0 ^{4}}{50}

Alternative Form

s \approx 1.654033

Evaluate

s^{5} \times 50 - 18 - 601

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

s^{5} \times 50 - 18 - 601 = 0

Use the commutative property to reorder the terms

50 s^{5} - 18 - 601 = 0

Subtract the numbers

50 s^{5} - 619 = 0

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

50 s^{5} = 0 + 619

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

50 s^{5} = 619

Divide both sides

\frac{50 s ^{5}}{50} = \frac{619}{50}

Divide the numbers

s^{5} = \frac{619}{50}

Take the 5 -th root on both sides of the equation

5 s^{5} = 5 \frac{619}{50}

Calculate

s = 5 \frac{619}{50}

Solution

More Steps

Evaluate

5 \frac{619}{50}

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

\frac{5 619}{5 50}

Multiply by the Conjugate

\frac{5 619 \times 5 5 0 ^{4}}{5 50 \times 5 5 0 ^{4}}

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

\frac{5 619 \times 5 0 ^{4}}{5 50 \times 5 5 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

550 \times 5 5 0^{4}

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

5 50 \times 5 0^{4}

Calculate the product

5 5 0^{5}

Reduce the index of the radical and exponent with 5

50

\frac{5 619 \times 5 0 ^{4}}{50}

s = \frac{5 619 \times 5 0 ^{4}}{50}

Alternative Form

s \approx 1.654033

Show Solution