Sudharaka
				
				
			 
			
	
	
	
		
			
				
					
					
					
					
					
					
					
					
						
		
	
	
			
		
		
			
			
				
							
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srirahulan's question titled "Algeb" from Math Help Forum,
Hi srirahulan,
Let \(\alpha\mbox{ and }\beta\) be the two roots of these quadratic equations. Then, according to the first equation,
\[\alpha+\beta=-\frac{2}{a}~~~~~~(1)\]
Considering the second equation,
\[\alpha+\beta=-2~~~~~~~(2)\]
By (1) and (2);
\[-\frac{2}{a}=-2\]
\[\therefore a=1\]
				
			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,
\[\alpha+\beta=-\frac{2}{a}~~~~~~(1)\]
Considering the second equation,
\[\alpha+\beta=-2~~~~~~~(2)\]
By (1) and (2);
\[-\frac{2}{a}=-2\]
\[\therefore a=1\]
 
 
		 
 
		 
 
		