SOLUTION: The demand and supply equations for a certain item are given by D = –5p + 40 S = –p^2 + 30p – 8 Find the equilibrium price

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Question 127045: The demand and supply equations for a certain item are given by
D = –5p + 40
S = –p^2 + 30p – 8
Find the equilibrium price
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
-5P+40=-p^2+30p-8
p^2-5p-30p+8+40=0
p^2-35p+48=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
p=(35+-sqrt[-35^2-4*1*48])/2*1
p=(35+-sqt[1225-192])/2
p=(35+-sqrt1033)/2
p=(35+-32.14)/2
p=(35+32.14)/2
p=67.14/2
p=33.57 answer.
p=(35-32.14)/2
p=2.86/2
p=1.43 answer.