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-20x^2+177x-340=0
a = -20; b = 177; c = -340;
Δ = b2-4ac
Δ = 1772-4·(-20)·(-340)
Δ = 4129
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{-(177)-\sqrt{4129}}{2*-20}=\frac{-177-\sqrt{4129}}{-40} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(177)+\sqrt{4129}}{2*-20}=\frac{-177+\sqrt{4129}}{-40} $
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