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11x^2+33x-74=0
a = 11; b = 33; c = -74;
Δ = b2-4ac
Δ = 332-4·11·(-74)
Δ = 4345
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{-(33)-\sqrt{4345}}{2*11}=\frac{-33-\sqrt{4345}}{22} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+\sqrt{4345}}{2*11}=\frac{-33+\sqrt{4345}}{22} $
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