Question

how to prove that x^6+x^4+x^2+x+3=0 has no positive real root???

Answer 1

when x>0, the function is always >0

Answer 2

if x > 0, each term will individually be greater than 0, since they all have positive signs

Answer 3

it says "has no positive real roots"..

Answer 4

but in case to prove that the function is never having a positive root atleast we have to prove that the function is positive for all x belonging to real num...

Answer 5

if each individual term is positive then their sum is positive.

Answer 6

no, just need to prove the positive part, the question does not ask for the negative part

Answer 7

ohhhh yaa yaa ...thnxxx i just didnt realised that part!!!!