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if the equations x 2 +ax+b=0 and x 2 +cx+d=0 have a common root and the first equation has equal roots,then prove that 2(b+d)=ac

if the equations  x2+ax+b=0 and x2+cx+d=0 have a common root and the first equation has equal roots,then prove that 2(b+d)=ac

Grade:12th pass

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
8 years ago
Use the values of Discriminant and compare both the equations . After comparing you will get the expression involvinga , b , c ,d .

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