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9x-x^2+220=0
We add all the numbers together, and all the variables
-1x^2+9x+220=0
a = -1; b = 9; c = +220;
Δ = b2-4ac
Δ = 92-4·(-1)·220
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{961}=31$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-31}{2*-1}=\frac{-40}{-2} =+20 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+31}{2*-1}=\frac{22}{-2} =-11 $
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