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9.81x^2-4.2x=0
a = 9.81; b = -4.2; c = 0;
Δ = b2-4ac
Δ = -4.22-4·9.81·0
Δ = 17.64
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{-(-4.2)-\sqrt{17.64}}{2*9.81}=\frac{4.2-\sqrt{17.64}}{19.62} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.2)+\sqrt{17.64}}{2*9.81}=\frac{4.2+\sqrt{17.64}}{19.62} $
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