Grade 1110 grade maths
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 .
1 Answer
Arun
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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