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-4.9x^2+79x+234=0
a = -4.9; b = 79; c = +234;
Δ = b2-4ac
Δ = 792-4·(-4.9)·234
Δ = 10827.4
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{-(79)-\sqrt{10827.4}}{2*-4.9}=\frac{-79-\sqrt{10827.4}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(79)+\sqrt{10827.4}}{2*-4.9}=\frac{-79+\sqrt{10827.4}}{-9.8} $
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