let a,b,c be non-zero real numbers such that
Then find the number of roots of the equation
i was getting no roots as the given expression (on the LHS) according to me satisfies:
which is a totally different set than that of the values of c.
so how can they ever be equal? ???
and the answer is not correct according to the book. :'(
Divide byLet be non-zero real numbers such that: . . Is this correct?
Then find the number of roots of the equation: .
. . Then: .
Then we have: . .
But if , then: .
Then  becomes: . .which is impossible.
Therefore, there are no solutions.