Let the coordinates of the intersection point of the function y equal to 1 / X and y equal to x minus 2 be (a, b). Then what is the value of 1 / a plus 1 / b

1/x=x-2
1=x^2-2x
x^2-2x+1=2
(x-1)^2=2
x-1=±√2
x=1±√2
a=1±√2
y=1±√2-2=-1±√2
b= -1±√2
1/a+1/b
=1/(1+√2)+1/(-1+√2)
=√2-1+√2+1
=2√2
or
1/a+1/b
=1/(1-√2)+1/(-1-√2)
=-1/(√2-1)-1/(√2+1)
=-√2-1-√2+1
=-2√2
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