Solve (530) 741-6196 x^5360

Question

Simplify the expression

392730 - 2230560 x^{5}

Evaluate

530 \times 741 - 6196 x^{5} \times 360

Multiply the numbers

392730 - 6196 x^{5} \times 360

Solution

392730 - 2230560 x^{5}

Show Solution

30 (13091 - 74352 x^{5})

Evaluate

530 \times 741 - 6196 x^{5} \times 360

Multiply the numbers

392730 - 6196 x^{5} \times 360

Multiply the terms

392730 - 2230560 x^{5}

Solution

30 (13091 - 74352 x^{5})

Show Solution

x = \frac{5 13091 \times 7435 2 ^{4}}{74352}

Alternative Form

x \approx 0.706539

Evaluate

530 \times 741 - 6196 x^{5} \times 360

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

530 \times 741 - 6196 x^{5} \times 360 = 0

Multiply the numbers

392730 - 6196 x^{5} \times 360 = 0

Multiply the terms

392730 - 2230560 x^{5} = 0

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

- 2230560 x^{5} = 0 - 392730

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

- 2230560 x^{5} = - 392730

Change the signs on both sides of the equation

2230560 x^{5} = 392730

Divide both sides

\frac{2230560 x ^{5}}{2230560} = \frac{392730}{2230560}

Divide the numbers

x^{5} = \frac{392730}{2230560}

Cancel out the common factor 30

x^{5} = \frac{13091}{74352}

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

5 x^{5} = 5 \frac{13091}{74352}

Calculate

x = 5 \frac{13091}{74352}

Solution

More Steps

Evaluate

5 \frac{13091}{74352}

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

\frac{5 13091}{5 74352}

Multiply by the Conjugate

\frac{5 13091 \times 5 7435 2 ^{4}}{5 74352 \times 5 7435 2 ^{4}}

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

\frac{5 13091 \times 7435 2 ^{4}}{5 74352 \times 5 7435 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

574352 \times 5 7435 2^{4}

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

5 74352 \times 7435 2^{4}

Calculate the product

5 7435 2^{5}

Reduce the index of the radical and exponent with 5

74352

\frac{5 13091 \times 7435 2 ^{4}}{74352}

x = \frac{5 13091 \times 7435 2 ^{4}}{74352}

Alternative Form

x \approx 0.706539

Show Solution