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6x^2-73x+123=0
a = 6; b = -73; c = +123;
Δ = b2-4ac
Δ = -732-4·6·123
Δ = 2377
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{-(-73)-\sqrt{2377}}{2*6}=\frac{73-\sqrt{2377}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+\sqrt{2377}}{2*6}=\frac{73+\sqrt{2377}}{12} $
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