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-4.9x^2+283x-686=0
a = -4.9; b = 283; c = -686;
Δ = b2-4ac
Δ = 2832-4·(-4.9)·(-686)
Δ = 66643.4
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{-(283)-\sqrt{66643.4}}{2*-4.9}=\frac{-283-\sqrt{66643.4}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(283)+\sqrt{66643.4}}{2*-4.9}=\frac{-283+\sqrt{66643.4}}{-9.8} $
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