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4.9x^2-5.79x-73.9=0
a = 4.9; b = -5.79; c = -73.9;
Δ = b2-4ac
Δ = -5.792-4·4.9·(-73.9)
Δ = 1481.9641
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{-(-5.79)-\sqrt{1481.9641}}{2*4.9}=\frac{5.79-\sqrt{1481.9641}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.79)+\sqrt{1481.9641}}{2*4.9}=\frac{5.79+\sqrt{1481.9641}}{9.8} $
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