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3x^2-121x-378=0
a = 3; b = -121; c = -378;
Δ = b2-4ac
Δ = -1212-4·3·(-378)
Δ = 19177
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{-(-121)-\sqrt{19177}}{2*3}=\frac{121-\sqrt{19177}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-121)+\sqrt{19177}}{2*3}=\frac{121+\sqrt{19177}}{6} $
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