Solve 11/12-1/6q^5/6q-1/3

Evaluate

\frac{11}{12} - \frac{1}{6} \times \frac{q ^{5}}{6} q - \frac{1}{3}

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

\frac{11}{12} - \frac{1}{6} \times \frac{q ^{5}}{6} q - \frac{1}{3} = 0

Multiply the terms

More Steps

\frac{11}{12} - \frac{q ^{6}}{36} - \frac{1}{3} = 0

Subtract the terms

More Steps

\frac{33 - q ^{6}}{36} - \frac{1}{3} = 0

Subtract the terms

More Steps

\frac{21 - q ^{6}}{36} = 0

Simplify

21 - q^{6} = 0

Rewrite the expression

- q^{6} = - 21

Change the signs on both sides of the equation

q^{6} = 21

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

q = \pm 621

Separate the equation into 2 possible cases

q = 621 q = - 621

Solution

q_{1} = - 621, q_{2} = 621

Alternative Form

q_{1} \approx - 1.661001, q_{2} \approx 1.661001

Simplify the expression