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-4.9x^2+30x-40.4=0
a = -4.9; b = 30; c = -40.4;
Δ = b2-4ac
Δ = 302-4·(-4.9)·(-40.4)
Δ = 108.16
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{-(30)-\sqrt{108.16}}{2*-4.9}=\frac{-30-\sqrt{108.16}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+\sqrt{108.16}}{2*-4.9}=\frac{-30+\sqrt{108.16}}{-9.8} $
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