Solve v^510-90/2-902

Question

Simplify the expression

10 v^{5} - 947

Evaluate

v^{5} \times 10 - \frac{90}{2} - 902

Divide the terms

More Steps

Evaluate

\frac{90}{2}

Reduce the numbers

\frac{45}{1}

Calculate

45

v^{5} \times 10 - 45 - 902

Use the commutative property to reorder the terms

10 v^{5} - 45 - 902

Solution

10 v^{5} - 947

Show Solution

v = \frac{5 9470000}{10}

Alternative Form

v \approx 2.484677

Evaluate

v^{5} \times 10 - \frac{90}{2} - 902

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

v^{5} \times 10 - \frac{90}{2} - 902 = 0

Divide the terms

More Steps

Evaluate

\frac{90}{2}

Reduce the numbers

\frac{45}{1}

Calculate

45

v^{5} \times 10 - 45 - 902 = 0

Use the commutative property to reorder the terms

10 v^{5} - 45 - 902 = 0

Subtract the numbers

10 v^{5} - 947 = 0

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

10 v^{5} = 0 + 947

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

10 v^{5} = 947

Divide both sides

\frac{10 v ^{5}}{10} = \frac{947}{10}

Divide the numbers

v^{5} = \frac{947}{10}

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

5 v^{5} = 5 \frac{947}{10}

Calculate

v = 5 \frac{947}{10}

Solution

More Steps

Evaluate

5 \frac{947}{10}

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

\frac{5 947}{5 10}

Multiply by the Conjugate

\frac{5 947 \times 5 1 0 ^{4}}{5 10 \times 5 1 0 ^{4}}

Simplify

\frac{5 947 \times 5 10000}{5 10 \times 5 1 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

5947 \times 510000

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

5 947 \times 10000

Calculate the product

59470000

\frac{5 9470000}{5 10 \times 5 1 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

510 \times 5 1 0^{4}

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

5 10 \times 1 0^{4}

Calculate the product

5 1 0^{5}

Reduce the index of the radical and exponent with 5

10

\frac{5 9470000}{10}

v = \frac{5 9470000}{10}

Alternative Form

v \approx 2.484677

Show Solution