Solve g^4280-60040

Question

Simplify the expression

280 g^{4} - 60040

Evaluate

g^{4} \times 280 - 60040

Solution

280 g^{4} - 60040

Show Solution

40 (7 g^{4} - 1501)

Evaluate

g^{4} \times 280 - 60040

Use the commutative property to reorder the terms

280 g^{4} - 60040

Solution

40 (7 g^{4} - 1501)

Show Solution

g_{1} = - \frac{4 514843}{7}, g_{2} = \frac{4 514843}{7}

Alternative Form

g_{1} \approx - 3.826667, g_{2} \approx 3.826667

Evaluate

g^{4} \times 280 - 60040

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

g^{4} \times 280 - 60040 = 0

Use the commutative property to reorder the terms

280 g^{4} - 60040 = 0

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

280 g^{4} = 0 + 60040

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

280 g^{4} = 60040

Divide both sides

\frac{280 g ^{4}}{280} = \frac{60040}{280}

Divide the numbers

g^{4} = \frac{60040}{280}

Cancel out the common factor 40

g^{4} = \frac{1501}{7}

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

g = \pm 4 \frac{1501}{7}

Simplify the expression

More Steps

Evaluate

4 \frac{1501}{7}

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

\frac{4 1501}{4 7}

Multiply by the Conjugate

\frac{4 1501 \times 4 7 ^{3}}{4 7 \times 4 7 ^{3}}

Simplify

\frac{4 1501 \times 4 343}{4 7 \times 4 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

41501 \times 4343

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

4 1501 \times 343

Calculate the product

4514843

\frac{4 514843}{4 7 \times 4 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

47 \times 4 7^{3}

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

4 7 \times 7^{3}

Calculate the product

4 7^{4}

Reduce the index of the radical and exponent with 4

7

\frac{4 514843}{7}

g = \pm \frac{4 514843}{7}

Separate the equation into 2 possible cases

g = \frac{4 514843}{7} g = - \frac{4 514843}{7}

Solution

g_{1} = - \frac{4 514843}{7}, g_{2} = \frac{4 514843}{7}

Alternative Form

g_{1} \approx - 3.826667, g_{2} \approx 3.826667

Show Solution