Question 88322
The demand and supply equations for a certain item are given by
    D = –5p + 40
    S = –p2 + 30p – 8
Find the equilibrium price.

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Equilibrium means demand = supply
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-5p+40 = -p^2 + 30p - 8
p^2 - 35p + 48 = 0
p = [35+-sqrt(35^2-4*1*48)]/2

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

p = $33.57 or p = $1.3
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Cheers,
Stan H.