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-0.5x^2+x+0.5=0
a = -0.5; b = 1; c = +0.5;
Δ = b2-4ac
Δ = 12-4·(-0.5)·0.5
Δ = 2
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)-\sqrt{2}}{2*-0.5}=\frac{-1-\sqrt{2}}{-1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2}}{2*-0.5}=\frac{-1+\sqrt{2}}{-1} $
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