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From: Richard F. <fa...@gm...> - 2026-03-04 21:53:04
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solve( y = (sqrt(4*x+1)-sqrt(x+1))/(sqrt(9*x+1)-sqrt(x+1)) , x); a solution is x= -((4*(y-1)*y*(8*y-3))/((2*y-1)*(2*y+3)*(4*y-3)*(4*y+1))) a challenge might also be: prove that f(x) := if x=0 then 3/8 else (sqrt(4*x+1)-sqrt(x+1))/(sqrt(9*x+1)-sqrt(x+1)) is continuous everywhere. RJF |