Question 103667
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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-p^2+30p-8 = -5p+40
p^2-35p+48=0
p = [35 +- sqrt(35^2-4*48)]/2

p = [35 +- sqrt(1033)]/2

p = [35 +- 32.14]/2

p = 33.57 or p = 1.43

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Cheers,
Stan H.