Solve 2800-4810N^4

Question

Factor the expression

10 (280 - 481 N^{4})

Evaluate

2800 - 4810 N^{4}

Solution

10 (280 - 481 N^{4})

Show Solution

N_{1} = - \frac{4 280 \times 48 1 ^{3}}{481}, N_{2} = \frac{4 280 \times 48 1 ^{3}}{481}

Alternative Form

N_{1} \approx - 0.873481, N_{2} \approx 0.873481

Evaluate

2800 - 4810 N^{4}

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

2800 - 4810 N^{4} = 0

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

- 4810 N^{4} = 0 - 2800

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

- 4810 N^{4} = - 2800

Change the signs on both sides of the equation

4810 N^{4} = 2800

Divide both sides

\frac{4810 N ^{4}}{4810} = \frac{2800}{4810}

Divide the numbers

N^{4} = \frac{2800}{4810}

Cancel out the common factor 10

N^{4} = \frac{280}{481}

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

N = \pm 4 \frac{280}{481}

Simplify the expression

More Steps

Evaluate

4 \frac{280}{481}

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

\frac{4 280}{4 481}

Multiply by the Conjugate

\frac{4 280 \times 4 48 1 ^{3}}{4 481 \times 4 48 1 ^{3}}

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

\frac{4 280 \times 48 1 ^{3}}{4 481 \times 4 48 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

4481 \times 4 48 1^{3}

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

4 481 \times 48 1^{3}

Calculate the product

4 48 1^{4}

Reduce the index of the radical and exponent with 4

481

\frac{4 280 \times 48 1 ^{3}}{481}

N = \pm \frac{4 280 \times 48 1 ^{3}}{481}

Separate the equation into 2 possible cases

N = \frac{4 280 \times 48 1 ^{3}}{481} N = - \frac{4 280 \times 48 1 ^{3}}{481}

Solution

N_{1} = - \frac{4 280 \times 48 1 ^{3}}{481}, N_{2} = \frac{4 280 \times 48 1 ^{3}}{481}

Alternative Form

N_{1} \approx - 0.873481, N_{2} \approx 0.873481

Show Solution