X^2-2x+1=0.64

Solution for X^2-2x+1=0.64 equation:

X^2-2X+1=0.64

We move all terms to the left:

X^2-2X+1-(0.64)=0

We add all the numbers together, and all the variables

X^2-2X+0.36=0

a = 1; b = -2; c = +0.36;
Δ = b2-4ac
Δ = -22-4·1·0.36
Δ = 2.56
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{2.56}}{2*1}=\frac{2-\sqrt{2.56}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{2.56}}{2*1}=\frac{2+\sqrt{2.56}}{2}
$