SOLUTION: 8p+7p^2-12+5p^2-10p-6+5(p^2-5)

Algebra ->  Probability-and-statistics -> SOLUTION: 8p+7p^2-12+5p^2-10p-6+5(p^2-5)      Log On


   

Question 660250: 8p+7p^2-12+5p^2-10p-6+5(p^2-5)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

8p%2B7p%5E2-12%2B5p%5E2-10p-6%2B5%28p%5E2-5%29

7p%5E2%2B5p%5E2%2B8p-10p-6-12%2B5p%5E2-25

12p%5E2-2p-18%2B5p%5E2-25

17p%5E2-2p-43....if you need to solve for p, set it equal to zero and
use quadratic formula:

17p%5E2-2p-43=0.

p+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

p+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A17%2A%28-43%29+%29%29%2F%282%2A17%29+

p=+%282+%2B-+sqrt%284%2B2924%29+%29%29%2F34+

p+=+%282+%2B-+sqrt%282928%29+%29%2F34+

p+=+%282+%2B-+54.11+%29%2F34+

solutions:

p+=+%282+%2B+54.11+%29%2F34+

p+=+56.11+%2F34+

p+=+1.65+
or
p+=+%282+-+54.11+%29%2F34+

p+=+-52.11+%2F34+

p+=+-1.53+