Solve K^4872-1 - ScanMath

Question

Simplify the expression

872 K^{4} - 1

Evaluate

K^{4} \times 872 - 1

Solution

872 K^{4} - 1

Show Solution

K_{1} = - \frac{4 87 2 ^{3}}{872}, K_{2} = \frac{4 87 2 ^{3}}{872}

Alternative Form

K_{1} \approx - 0.184022, K_{2} \approx 0.184022

Evaluate

K^{4} \times 872 - 1

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

K^{4} \times 872 - 1 = 0

Use the commutative property to reorder the terms

872 K^{4} - 1 = 0

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

872 K^{4} = 0 + 1

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

872 K^{4} = 1

Divide both sides

\frac{872 K ^{4}}{872} = \frac{1}{872}

Divide the numbers

K^{4} = \frac{1}{872}

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

K = \pm 4 \frac{1}{872}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{872}

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

\frac{4 1}{4 872}

Simplify the radical expression

\frac{1}{4 872}

Multiply by the Conjugate

\frac{4 87 2 ^{3}}{4 872 \times 4 87 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

4872 \times 4 87 2^{3}

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

4 872 \times 87 2^{3}

Calculate the product

4 87 2^{4}

Reduce the index of the radical and exponent with 4

872

\frac{4 87 2 ^{3}}{872}

K = \pm \frac{4 87 2 ^{3}}{872}

Separate the equation into 2 possible cases

K = \frac{4 87 2 ^{3}}{872} K = - \frac{4 87 2 ^{3}}{872}

Solution

K_{1} = - \frac{4 87 2 ^{3}}{872}, K_{2} = \frac{4 87 2 ^{3}}{872}

Alternative Form

K_{1} \approx - 0.184022, K_{2} \approx 0.184022

Show Solution