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980x^2-19.6x-15.68=0
a = 980; b = -19.6; c = -15.68;
Δ = b2-4ac
Δ = -19.62-4·980·(-15.68)
Δ = 61849.76
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{-(-19.6)-\sqrt{61849.76}}{2*980}=\frac{19.6-\sqrt{61849.76}}{1960} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19.6)+\sqrt{61849.76}}{2*980}=\frac{19.6+\sqrt{61849.76}}{1960} $
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