Solve 143416-7 629v^59-6

Question

Simplify the expression

143410 - 68661 v^{5}

Evaluate

143416 - 7629 v^{5} \times 9 - 6

Multiply the terms

143416 - 68661 v^{5} - 6

Solution

143410 - 68661 v^{5}

Show Solution

v = \frac{5 143410 \times 6866 1 ^{4}}{68661}

Alternative Form

v \approx 1.158708

Evaluate

143416 - 7629 v^{5} \times 9 - 6

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

143416 - 7629 v^{5} \times 9 - 6 = 0

Multiply the terms

143416 - 68661 v^{5} - 6 = 0

Subtract the numbers

143410 - 68661 v^{5} = 0

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

- 68661 v^{5} = 0 - 143410

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

- 68661 v^{5} = - 143410

Change the signs on both sides of the equation

68661 v^{5} = 143410

Divide both sides

\frac{68661 v ^{5}}{68661} = \frac{143410}{68661}

Divide the numbers

v^{5} = \frac{143410}{68661}

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

5 v^{5} = 5 \frac{143410}{68661}

Calculate

v = 5 \frac{143410}{68661}

Solution

More Steps

Evaluate

5 \frac{143410}{68661}

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

\frac{5 143410}{5 68661}

Multiply by the Conjugate

\frac{5 143410 \times 5 6866 1 ^{4}}{5 68661 \times 5 6866 1 ^{4}}

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

\frac{5 143410 \times 6866 1 ^{4}}{5 68661 \times 5 6866 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

568661 \times 5 6866 1^{4}

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

5 68661 \times 6866 1^{4}

Calculate the product

5 6866 1^{5}

Reduce the index of the radical and exponent with 5

68661

\frac{5 143410 \times 6866 1 ^{4}}{68661}

v = \frac{5 143410 \times 6866 1 ^{4}}{68661}

Alternative Form

v \approx 1.158708

Show Solution