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(P)=-P^2+740P-28000
We move all terms to the left:
(P)-(-P^2+740P-28000)=0
We get rid of parentheses
P^2-740P+P+28000=0
We add all the numbers together, and all the variables
P^2-739P+28000=0
a = 1; b = -739; c = +28000;
Δ = b2-4ac
Δ = -7392-4·1·28000
Δ = 434121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-739)-\sqrt{434121}}{2*1}=\frac{739-\sqrt{434121}}{2} $$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-739)+\sqrt{434121}}{2*1}=\frac{739+\sqrt{434121}}{2} $
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