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3.2x^2-1.344x+0.1=0
a = 3.2; b = -1.344; c = +0.1;
Δ = b2-4ac
Δ = -1.3442-4·3.2·0.1
Δ = 0.526336
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{-(-1.344)-\sqrt{0.526336}}{2*3.2}=\frac{1.344-\sqrt{0.526336}}{6.4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.344)+\sqrt{0.526336}}{2*3.2}=\frac{1.344+\sqrt{0.526336}}{6.4} $
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