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-5x^2-33x+1650=0
a = -5; b = -33; c = +1650;
Δ = b2-4ac
Δ = -332-4·(-5)·1650
Δ = 34089
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{34089}}{2*-5}=\frac{33-\sqrt{34089}}{-10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{34089}}{2*-5}=\frac{33+\sqrt{34089}}{-10} $
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