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-0.35x^2-0.5x+0.05=0
a = -0.35; b = -0.5; c = +0.05;
Δ = b2-4ac
Δ = -0.52-4·(-0.35)·0.05
Δ = 0.32
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{-(-0.5)-\sqrt{0.32}}{2*-0.35}=\frac{0.5-\sqrt{0.32}}{-0.7} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.5)+\sqrt{0.32}}{2*-0.35}=\frac{0.5+\sqrt{0.32}}{-0.7} $
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