Solve p^6+8 - Socratic AI (ScanMath)

Evaluate

p^{6} + 8

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

p^{6} + 8 = 0

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

p^{6} = 0 - 8

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

p^{6} = - 8

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

p = \pm 6 - 8

Simplify the expression

Langkah Lebih Banyak

p = \pm (\frac{6}{2} + \frac{2}{2} i)

Separate the equation into 2 possible cases

p = \frac{6}{2} + \frac{2}{2} i p = - \frac{6}{2} - \frac{2}{2} i

Larutan

p_{1} = - \frac{6}{2} - \frac{2}{2} i, p_{2} = \frac{6}{2} + \frac{2}{2} i

Alternative Form

p_{1} \approx - 1.224745 - 0.707107 i, p_{2} \approx 1.224745 + 0.707107 i

P^6+8