#1**0 **

Solve for p:

40 p^3 - 8 p^2 + 5 p - 1 = 0

The left hand side factors into a product with two terms:

(5 p - 1) (8 p^2 + 1) = 0

Split into two equations:

5 p - 1 = 0 or 8 p^2 + 1 = 0

Add 1 to both sides:

5 p = 1 or 8 p^2 + 1 = 0

Divide both sides by 5:

p = 1/5 or 8 p^2 + 1 = 0

Subtract 1 from both sides:

p = 1/5 or 8 p^2 = -1

Divide both sides by 8:

p = 1/5 or p^2 = -1/8

Take the square root of both sides:

**Answer: | | p = 1/5 or p = i/(2 sqrt(2)) or p = -i/(2 sqrt(2))**

Guest Jun 1, 2017

edited by
Guest
Jun 1, 2017