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11.793x^2+777.425x-388.7125=0
a = 11.793; b = 777.425; c = -388.7125;
Δ = b2-4ac
Δ = 777.4252-4·11.793·(-388.7125)
Δ = 622725.976675
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{-(777.425)-\sqrt{622725.976675}}{2*11.793}=\frac{-777.425-\sqrt{622725.976675}}{23.586} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(777.425)+\sqrt{622725.976675}}{2*11.793}=\frac{-777.425+\sqrt{622725.976675}}{23.586} $
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