Saturday, May 22, 2010

If a,b,c,d and p are distinct real numbers such that (a^2 + b^2 + c^2)p^2 - 2(ab + bc + cd)p + ...?

(b^2 + c^2 + d^2) %26lt;= 0,


Then


A) a,b,c and d are in H.P.;


B) ab , bc , cd are in A.P.;


C) a,b,c and d are in A.P.;


D) a,b,c and d are in G.P.;


Explain...

If a,b,c,d and p are distinct real numbers such that (a^2 + b^2 + c^2)p^2 - 2(ab + bc + cd)p + ...?
Please make sure that your question is legible. Right now, the last part of it is cut off.





It also has a line that says:


(b^2 + c^2 + d^2) %26lt;= 0 and that these numbers are real.


If so, then b=c=d=0,


which simplifies the problem considerably.


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