SOLUTION: Would someone show me step by step how to figure this problem? Thank you The demand equation for a certain type of printer is given by D=-200p+35,000. The supply equation is predi

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Would someone show me step by step how to figure this problem? Thank you The demand equation for a certain type of printer is given by D=-200p+35,000. The supply equation is predi      Log On


   

Question 87895: Would someone show me step by step how to figure this problem? Thank you
The demand equation for a certain type of printer is given by D=-200p+35,000. The supply equation is predicted to be: S=-p^2+400-20,000. Find the equilibrium price.
Answer by Flake(45) About Me  (Show Source):
You can put this solution on YOUR website!
Equilibrium price is when the Demand is equal to the Supply.
D+=+S+
-200p%2B35000+=+-p%5E2%2B400-20000+
p%5E2+-+200p+%2B+54600+=+0+
This very similar to ax%5E2+%2B+bx+%2B+c+=+0+
Now solve with x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+