0.707x^2-2x+0.707=0

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Solution for 0.707x^2-2x+0.707=0 equation: 



0.707x^2-2x+0.707=0

a = 0.707; b = -2; c = +0.707;
Δ = b2-4ac
Δ = -22-4·0.707·0.707
Δ = 2.000604
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{-(-2)-\sqrt{2.000604}}{2*0.707}=\frac{2-\sqrt{2.000604}}{1.414}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{2.000604}}{2*0.707}=\frac{2+\sqrt{2.000604}}{1.414}
$

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