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-4x^2-33x+77=0
a = -4; b = -33; c = +77;
Δ = b2-4ac
Δ = -332-4·(-4)·77
Δ = 2321
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{2321}}{2*-4}=\frac{33-\sqrt{2321}}{-8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{2321}}{2*-4}=\frac{33+\sqrt{2321}}{-8} $
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