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-x^2+51x-110=0
We add all the numbers together, and all the variables
-1x^2+51x-110=0
a = -1; b = 51; c = -110;
Δ = b2-4ac
Δ = 512-4·(-1)·(-110)
Δ = 2161
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(51)-\sqrt{2161}}{2*-1}=\frac{-51-\sqrt{2161}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(51)+\sqrt{2161}}{2*-1}=\frac{-51+\sqrt{2161}}{-2} $
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