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[SOLVED] Algeb


Well-known member
MHB Math Helper
Feb 5, 2012
srirahulan's question titled "Algeb" from Math Help Forum,

If \(ax^2+2x+1=0\mbox{ and }x^2+2x+a=0\) have the common roots, find the real value of a.
Hi srirahulan,

Let \(\alpha\mbox{ and }\beta\) be the two roots of these quadratic equations. Then, according to the first equation,


Considering the second equation,


By (1) and (2);


\[\therefore a=1\]