let a,b,c be non-zero real numbers such that

http://latex.codecogs.com/gif.latex?...t{a^{2}+b^{2}}

Then find the number of roots of the equation

http://latex.codecogs.com/gif.latex?...%20+%20bcosx=c

???

i was getting no roots as the given expression (on the LHS) according to me satisfies:

http://latex.codecogs.com/gif.latex?...t{a^{2}+b^{2}}

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. :'(