If the roots of the equation (a-b) x2 + (b-c) x + (c-a) = 0 are equal , then prove that 2a = b + c .
If the roots of the equation (a-b) x2 + (b-c) x + (c-a) = 0 are
equal , then prove that 2a = b + c .
Saurav , 6 Years ago
Grade 11
10 grade maths> If the roots of the equation (a-b) x 2 + ...
1 Answers
Arun
Last Activity: 6 Years ago
Dear student
As we see that x = 1 satisfy this
Hence both roots are 1.
Hence
Product of roots = 1 = c-a /a-b
a-b = c -a
2a = b +c
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