SOLUTION: If u and v are the roots of the equation of {{{ax^2+bx+c=0}}}, prove that {{{u^2+v^2 = (b^2-2ac)/a^2}}}.

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Question 1043983: If u and v are the roots of the equation of , prove that .
Answer by Timnewman(323)   (Show Source): You can put this solution on YOUR website!
If u and v are the roots of the equation of , prove that .
Solution
sum root=u+v=b/a
product root=uv=c/a


but uv=c/a
then

take the l.c.m and get

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