Mths ques.

[Seecha]

(x-a)^3 + (x-b)^3 + (x-c)^3=0
No. Of real roots ??
Ans. is 1

[Abhitesh]

f'(x) = 3(x-a)^2 + 3(x-b)^2 + 3(x-c)^2 >0

[Seecha]

I m not getting wht method you are using?

[Abhitesh]

f'(x)>0 => the function increases for ever, so it will intersect x-axis only once.