Solve 2k^6-200-2511

Question

Simplify the expression

2 k^{6} - 2711

Evaluate

2 k^{6} - 200 - 2511

Solution

2 k^{6} - 2711

Show Solution

k_{1} = - \frac{6 86752}{2}, k_{2} = \frac{6 86752}{2}

Alternative Form

k_{1} \approx - 3.326723, k_{2} \approx 3.326723

Evaluate

2 k^{6} - 200 - 2511

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

2 k^{6} - 200 - 2511 = 0

Subtract the numbers

2 k^{6} - 2711 = 0

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

2 k^{6} = 0 + 2711

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

2 k^{6} = 2711

Divide both sides

\frac{2 k ^{6}}{2} = \frac{2711}{2}

Divide the numbers

k^{6} = \frac{2711}{2}

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

k = \pm 6 \frac{2711}{2}

Simplify the expression

More Steps

Evaluate

6 \frac{2711}{2}

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

\frac{6 2711}{6 2}

Multiply by the Conjugate

\frac{6 2711 \times 6 2 ^{5}}{6 2 \times 6 2 ^{5}}

Simplify

\frac{6 2711 \times 6 32}{6 2 \times 6 2 ^{5}}

Multiply the numbers

More Steps

Evaluate

62711 \times 632

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

6 2711 \times 32

Calculate the product

686752

\frac{6 86752}{6 2 \times 6 2 ^{5}}

Multiply the numbers

More Steps

Evaluate

62 \times 6 2^{5}

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

6 2 \times 2^{5}

Calculate the product

6 2^{6}

Reduce the index of the radical and exponent with 6

2

\frac{6 86752}{2}

k = \pm \frac{6 86752}{2}

Separate the equation into 2 possible cases

k = \frac{6 86752}{2} k = - \frac{6 86752}{2}

Solution

k_{1} = - \frac{6 86752}{2}, k_{2} = \frac{6 86752}{2}

Alternative Form

k_{1} \approx - 3.326723, k_{2} \approx 3.326723

Show Solution