SOLUTION: Solve each system of equations by elimination and verify your solution(s) 2p^2=4p-2m+6 5m+8=10p+5p^2 answers are: (-1.52,-2.33) and (1.52,3.73)

Algebra ->  Systems-of-equations -> SOLUTION: Solve each system of equations by elimination and verify your solution(s) 2p^2=4p-2m+6 5m+8=10p+5p^2 answers are: (-1.52,-2.33) and (1.52,3.73)      Log On


   

Question 878176: Solve each system of equations by elimination and verify your solution(s)
2p^2=4p-2m+6
5m+8=10p+5p^2
answers are:
(-1.52,-2.33) and (1.52,3.73)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2p%5E2=4p-2m%2B6
2m=-2p%5E2%2B4p%2B6
m=-p%5E2%2B2p%2B3
.
.
.
5m%2B8=10p%2B5p%5E2
m%2B8%2F5=p%5E2%2B2p
Substituting,
-p%5E2%2B2p%2B3%2B8%2F5=p%5E2%2B2p
-2p%5E2=-23%2F5
p%5E2=23%2F10
p=0+%2B-+sqrt%2823%2F10%29
Then,
m=-23%2F10%2B2%280%2B-sqrt%2823%2F10%29%29%2B3
m=-23%2F10%2B30%2F10+%2B-+sqrt%2823%29%2F5
m=7%2F10+%2B-+2%2Asqrt%2823%2F10%29