SOLUTION: Let a,b,c be real numbers satisfy ab + bc + ca = 1. Show that (a - b)/(1 + c^2) + (b - c)/(1 + a^2) ≥ (c - a)/(1 + b^2)
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-> SOLUTION: Let a,b,c be real numbers satisfy ab + bc + ca = 1. Show that (a - b)/(1 + c^2) + (b - c)/(1 + a^2) ≥ (c - a)/(1 + b^2)
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You can put this solution on YOUR website! Let a,b,c be real numbers satisfy ab + bc + ca = 1. Show that (a - b)/(1 + c^2) + (b - c)/(1 + a^2) ≥ (c - a)/(1 + b^2)
Let's see if it's true when a=-2, b=3, and c=7
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That checks. Now let's see if this checks:
FALSE. So the proposition is FALSE. Sorry.
Edwin
