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-4.9x^2-3.2x+30=0
a = -4.9; b = -3.2; c = +30;
Δ = b2-4ac
Δ = -3.22-4·(-4.9)·30
Δ = 598.24
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{-(-3.2)-\sqrt{598.24}}{2*-4.9}=\frac{3.2-\sqrt{598.24}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.2)+\sqrt{598.24}}{2*-4.9}=\frac{3.2+\sqrt{598.24}}{-9.8} $
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