Решите уравнение (х-1) ^2 + (х+1) ^2 = (х+2) ^2-2 х+2

(х-1) ^2 + (х+1) ^2 = (х+2) ^2-2 х+2

х^2-2x+1+х^2+2x+1=х^2+4 х+4-2 х+2

2 х^2+2=х^2+2 х+6

2 х^2-х^2-2 х+2-6=0

х^2-2 х-4=0

a=1 b=-2 c=-4

D=b^2-4ac = (-2) ^2-4*1 * (-4) = 4+16=20

x1 = - b-√{D}/2a = 2-√{20}/2*1=2-√{4*5}/2=2-2√{5}/2=2 (1-√{5}) / 2=1-√{5}

x2 = - b+√{D}/2a = 2+√{20}/2*1=2+√{4*5}/2=2+2√{5}/2=2 (1+√{5}) / 2=1+√{5}