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-4.9x^2+27.5x+9.1=0
a = -4.9; b = 27.5; c = +9.1;
Δ = b2-4ac
Δ = 27.52-4·(-4.9)·9.1
Δ = 934.61
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{-(27.5)-\sqrt{934.61}}{2*-4.9}=\frac{-27.5-\sqrt{934.61}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27.5)+\sqrt{934.61}}{2*-4.9}=\frac{-27.5+\sqrt{934.61}}{-9.8} $
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