x/a + a/x = x/b + b/x
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(x2+a2) /ax = (a2+b2)/ab
(x2 + a2)ab=ax(a2+b2)
(x2+a2)b=x(a2+b2)
x2b + a2b=a2x+b2x
bx2 -a2x-b2x+a2b=0
x(bx-a2)-b(bx-a2)=0
(x-b)(bx-a2)=0
x= b and a2/b
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