Solve g^4350-20120

Question

Simplify the expression

350 g^{4} - 20120

Evaluate

g^{4} \times 350 - 20120

Solution

350 g^{4} - 20120

Show Solution

10 (35 g^{4} - 2012)

Evaluate

g^{4} \times 350 - 20120

Use the commutative property to reorder the terms

350 g^{4} - 20120

Solution

10 (35 g^{4} - 2012)

Show Solution

g_{1} = - \frac{4 86264500}{35}, g_{2} = \frac{4 86264500}{35}

Alternative Form

g_{1} \approx - 2.753531, g_{2} \approx 2.753531

Evaluate

g^{4} \times 350 - 20120

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

g^{4} \times 350 - 20120 = 0

Use the commutative property to reorder the terms

350 g^{4} - 20120 = 0

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

350 g^{4} = 0 + 20120

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

350 g^{4} = 20120

Divide both sides

\frac{350 g ^{4}}{350} = \frac{20120}{350}

Divide the numbers

g^{4} = \frac{20120}{350}

Cancel out the common factor 10

g^{4} = \frac{2012}{35}

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

g = \pm 4 \frac{2012}{35}

Simplify the expression

More Steps

Evaluate

4 \frac{2012}{35}

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

\frac{4 2012}{4 35}

Multiply by the Conjugate

\frac{4 2012 \times 4 3 5 ^{3}}{4 35 \times 4 3 5 ^{3}}

Simplify

\frac{4 2012 \times 4 42875}{4 35 \times 4 3 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

42012 \times 442875

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

4 2012 \times 42875

Calculate the product

486264500

\frac{4 86264500}{4 35 \times 4 3 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

435 \times 4 3 5^{3}

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

4 35 \times 3 5^{3}

Calculate the product

4 3 5^{4}

Reduce the index of the radical and exponent with 4

35

\frac{4 86264500}{35}

g = \pm \frac{4 86264500}{35}

Separate the equation into 2 possible cases

g = \frac{4 86264500}{35} g = - \frac{4 86264500}{35}

Solution

g_{1} = - \frac{4 86264500}{35}, g_{2} = \frac{4 86264500}{35}

Alternative Form

g_{1} \approx - 2.753531, g_{2} \approx 2.753531

Show Solution