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-4.90x^2+15.5x+28.0=0
We add all the numbers together, and all the variables
-4.9x^2+15.5x+28=0
a = -4.9; b = 15.5; c = +28;
Δ = b2-4ac
Δ = 15.52-4·(-4.9)·28
Δ = 789.05
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{-(15.5)-\sqrt{789.05}}{2*-4.9}=\frac{-15.5-\sqrt{789.05}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15.5)+\sqrt{789.05}}{2*-4.9}=\frac{-15.5+\sqrt{789.05}}{-9.8} $
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