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b*x -a -b+sqrt((b*x-a-b)^2-4ab)=b0*x0 -a0 -b0+sqrt((b0*x0-a0-b_0)^2-4*a_0*b_0
x*b/(a+b+2*sqrt(a*b))=b_0*x_0/(a_0+b_0+2*sqrt(a_0*b_0))

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