Question 100158
D=S OR:
-200P+35,000=-P^2+400P-20,000
P^2-200P-400P+35,000+20,000=0
P^2-600P+55,000=0
USING THE QUADRATIC EQUATION WE GET:
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
X=(600+-SQRT[-600*-600-4*1*55000])/2*1
X=(600+-SQRT[360,000-220,000])/2
X=(600+-SQRT140000])/2
X=(600+-374.1657)/2
X=(600+374.1657)/2
X=974.1657/2
X=487 ANSWER FOR THE EQUILIBRIUM PRICE.
X=(600-374.1657)/2
X=228.8343/2
X=112.9 ANSWER.