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1.786-2.679x-1.107x^2=0
a = -1.107; b = -2.679; c = +1.786;
Δ = b2-4ac
Δ = -2.6792-4·(-1.107)·1.786
Δ = 15.085449
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{-(-2.679)-\sqrt{15.085449}}{2*-1.107}=\frac{2.679-\sqrt{15.085449}}{-2.214} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.679)+\sqrt{15.085449}}{2*-1.107}=\frac{2.679+\sqrt{15.085449}}{-2.214} $
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