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x^2-5.5x+2=0
a = 1; b = -5.5; c = +2;
Δ = b2-4ac
Δ = -5.52-4·1·2
Δ = 22.25
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{-(-5.5)-\sqrt{22.25}}{2*1}=\frac{5.5-\sqrt{22.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5.5)+\sqrt{22.25}}{2*1}=\frac{5.5+\sqrt{22.25}}{2} $
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