Solve C^4280-1 - ScanMath

Question

Simplify the expression

280 C^{4} - 1

Evaluate

C^{4} \times 280 - 1

Solution

280 C^{4} - 1

Show Solution

C_{1} = - \frac{4 28 0 ^{3}}{280}, C_{2} = \frac{4 28 0 ^{3}}{280}

Alternative Form

C_{1} \approx - 0.244462, C_{2} \approx 0.244462

Evaluate

C^{4} \times 280 - 1

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

C^{4} \times 280 - 1 = 0

Use the commutative property to reorder the terms

280 C^{4} - 1 = 0

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

280 C^{4} = 0 + 1

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

280 C^{4} = 1

Divide both sides

\frac{280 C ^{4}}{280} = \frac{1}{280}

Divide the numbers

C^{4} = \frac{1}{280}

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

C = \pm 4 \frac{1}{280}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{280}

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

\frac{4 1}{4 280}

Simplify the radical expression

\frac{1}{4 280}

Multiply by the Conjugate

\frac{4 28 0 ^{3}}{4 280 \times 4 28 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

4280 \times 4 28 0^{3}

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

4 280 \times 28 0^{3}

Calculate the product

4 28 0^{4}

Reduce the index of the radical and exponent with 4

280

\frac{4 28 0 ^{3}}{280}

C = \pm \frac{4 28 0 ^{3}}{280}

Separate the equation into 2 possible cases

C = \frac{4 28 0 ^{3}}{280} C = - \frac{4 28 0 ^{3}}{280}

Solution

C_{1} = - \frac{4 28 0 ^{3}}{280}, C_{2} = \frac{4 28 0 ^{3}}{280}

Alternative Form

C_{1} \approx - 0.244462, C_{2} \approx 0.244462

Show Solution