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if the equation [b-c]x2+[c-a]x+a-c=0,,,,has equal roots then prove 2b=a+c

if the equation [b-c]x2+[c-a]x+a-c=0,,,,has equal roots then prove 2b=a+c

Grade:11

2 Answers

Vinay Goyal IITB
37 Points
10 years ago

Dear aditya,

             I think there is some problem in question. As you have told equation has equal roots then its descriminant will be 0

so                        B2=4AC

                        [c-a]2=4[b-c][a-c]     on solving this you get 4b=3c+a

 

jagdish singh singh
173 Points
10 years ago

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