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-5.5x^2+51.5x+35=0
a = -5.5; b = 51.5; c = +35;
Δ = b2-4ac
Δ = 51.52-4·(-5.5)·35
Δ = 3422.25
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{-(51.5)-\sqrt{3422.25}}{2*-5.5}=\frac{-51.5-\sqrt{3422.25}}{-11} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(51.5)+\sqrt{3422.25}}{2*-5.5}=\frac{-51.5+\sqrt{3422.25}}{-11} $
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