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x^2-4.666x+1=0
a = 1; b = -4.666; c = +1;
Δ = b2-4ac
Δ = -4.6662-4·1·1
Δ = 17.771556
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{-(-4.666)-\sqrt{17.771556}}{2*1}=\frac{4.666-\sqrt{17.771556}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.666)+\sqrt{17.771556}}{2*1}=\frac{4.666+\sqrt{17.771556}}{2} $
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