SOLUTION: If the equation (1+m^2)x^2+2mcx+(c^2-a^2)=0has equal root ,prove that c^2=a^2(1+m^2)

SOLUTION: If the equation (1+m^2)x^2+2mcx+(c^2-a^2)=0has equal root ,prove that c^2=a^2(1+m^2)

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Question 631573: If the equation (1+m^2)x^2+2mcx+(c^2-a^2)=0has equal root ,prove that c^2=a^2(1+m^2)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(1+m^2)x^2+2mcx+(c^2-a^2)=0
Since the quadratic equation has equal roots the discriminant

where , b= 2mc ,

divide by 4

m.ananth@hotmail.ca
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