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0.4x^2-0.6x-0.09=0
a = 0.4; b = -0.6; c = -0.09;
Δ = b2-4ac
Δ = -0.62-4·0.4·(-0.09)
Δ = 0.504
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{-(-0.6)-\sqrt{0.504}}{2*0.4}=\frac{0.6-\sqrt{0.504}}{0.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.6)+\sqrt{0.504}}{2*0.4}=\frac{0.6+\sqrt{0.504}}{0.8} $
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