Solve 918-56g^5 - ScanMath

Question

Factor the expression

2 (459 - 28 g^{5})

Evaluate

918 - 56 g^{5}

Solution

2 (459 - 28 g^{5})

Show Solution

g = \frac{5 459 \times 2 8 ^{4}}{28}

Alternative Form

g \approx 1.749568

Evaluate

918 - 56 g^{5}

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

918 - 56 g^{5} = 0

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

- 56 g^{5} = 0 - 918

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

- 56 g^{5} = - 918

Change the signs on both sides of the equation

56 g^{5} = 918

Divide both sides

\frac{56 g ^{5}}{56} = \frac{918}{56}

Divide the numbers

g^{5} = \frac{918}{56}

Cancel out the common factor 2

g^{5} = \frac{459}{28}

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

5 g^{5} = 5 \frac{459}{28}

Calculate

g = 5 \frac{459}{28}

Solution

More Steps

Evaluate

5 \frac{459}{28}

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

\frac{5 459}{5 28}

Multiply by the Conjugate

\frac{5 459 \times 5 2 8 ^{4}}{5 28 \times 5 2 8 ^{4}}

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

\frac{5 459 \times 2 8 ^{4}}{5 28 \times 5 2 8 ^{4}}

Multiply the numbers

More Steps

Evaluate

528 \times 5 2 8^{4}

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

5 28 \times 2 8^{4}

Calculate the product

5 2 8^{5}

Reduce the index of the radical and exponent with 5

28

\frac{5 459 \times 2 8 ^{4}}{28}

g = \frac{5 459 \times 2 8 ^{4}}{28}

Alternative Form

g \approx 1.749568

Show Solution