+0  
 
0
102
1
avatar

what is the answer to 40p^3-8p^2+5p-1

Guest Jun 1, 2017
Sort: 

1+0 Answers

 #1
avatar
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

1 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details