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(P)=-11P^2+880P-7700
We move all terms to the left:
(P)-(-11P^2+880P-7700)=0
We get rid of parentheses
11P^2-880P+P+7700=0
We add all the numbers together, and all the variables
11P^2-879P+7700=0
a = 11; b = -879; c = +7700;
Δ = b2-4ac
Δ = -8792-4·11·7700
Δ = 433841
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{-(-879)-\sqrt{433841}}{2*11}=\frac{879-\sqrt{433841}}{22} $$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-879)+\sqrt{433841}}{2*11}=\frac{879+\sqrt{433841}}{22} $
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