Question from sujith, a student:

The no of real solutions of the equations 1+x+x^2+x^3 = x^4+x^5 is ?

Answer A) 1 B) 5 C) 4 D) 3.

Please explain how u arrive the answer from the choice

Sujith,

Rewrite the equation as

x^{5} + x^{4} - x^{3} - x^{2} - x - 1 = 0

(x^{5} + x^{4}) - (x^{3} + x^{2}) - (x + 1) = 0