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-x^2+230x-8.600=0
We add all the numbers together, and all the variables
-1x^2+230x-8.6=0
a = -1; b = 230; c = -8.6;
Δ = b2-4ac
Δ = 2302-4·(-1)·(-8.6)
Δ = 52865.6
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{-(230)-\sqrt{52865.6}}{2*-1}=\frac{-230-\sqrt{52865.6}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(230)+\sqrt{52865.6}}{2*-1}=\frac{-230+\sqrt{52865.6}}{-2} $
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