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X^2-1.414X-0.1414=0
a = 1; b = -1.414; c = -0.1414;
Δ = b2-4ac
Δ = -1.4142-4·1·(-0.1414)
Δ = 2.564996
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{-(-1.414)-\sqrt{2.564996}}{2*1}=\frac{1.414-\sqrt{2.564996}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.414)+\sqrt{2.564996}}{2*1}=\frac{1.414+\sqrt{2.564996}}{2} $
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