Solve g^4220-60035

Question

Simplify the expression

220 g^{4} - 60035

Evaluate

g^{4} \times 220 - 60035

Solution

220 g^{4} - 60035

Show Solution

5 (44 g^{4} - 12007)

Evaluate

g^{4} \times 220 - 60035

Use the commutative property to reorder the terms

220 g^{4} - 60035

Solution

5 (44 g^{4} - 12007)

Show Solution

g_{1} = - \frac{4 12007 \times 4 4 ^{3}}{44}, g_{2} = \frac{4 12007 \times 4 4 ^{3}}{44}

Alternative Form

g_{1} \approx - 4.064391, g_{2} \approx 4.064391

Evaluate

g^{4} \times 220 - 60035

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

g^{4} \times 220 - 60035 = 0

Use the commutative property to reorder the terms

220 g^{4} - 60035 = 0

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

220 g^{4} = 0 + 60035

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

220 g^{4} = 60035

Divide both sides

\frac{220 g ^{4}}{220} = \frac{60035}{220}

Divide the numbers

g^{4} = \frac{60035}{220}

Cancel out the common factor 5

g^{4} = \frac{12007}{44}

Take the root of both sides of the equation and remember to use both positive and negative roots

g = \pm 4 \frac{12007}{44}

Simplify the expression

More Steps

Evaluate

4 \frac{12007}{44}

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

\frac{4 12007}{4 44}

Multiply by the Conjugate

\frac{4 12007 \times 4 4 4 ^{3}}{4 44 \times 4 4 4 ^{3}}

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

\frac{4 12007 \times 4 4 ^{3}}{4 44 \times 4 4 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

444 \times 4 4 4^{3}

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

4 44 \times 4 4^{3}

Calculate the product

4 4 4^{4}

Reduce the index of the radical and exponent with 4

44

\frac{4 12007 \times 4 4 ^{3}}{44}

g = \pm \frac{4 12007 \times 4 4 ^{3}}{44}

Separate the equation into 2 possible cases

g = \frac{4 12007 \times 4 4 ^{3}}{44} g = - \frac{4 12007 \times 4 4 ^{3}}{44}

Solution

g_{1} = - \frac{4 12007 \times 4 4 ^{3}}{44}, g_{2} = \frac{4 12007 \times 4 4 ^{3}}{44}

Alternative Form

g_{1} \approx - 4.064391, g_{2} \approx 4.064391

Show Solution