SOLUTION: Please help me to prove that a, b, and c is odd (where) ax˛ + bx + c = 0 thanks in advance :)

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Question 707659: Please help me to prove that a, b, and c is odd (where) ax˛ + bx + c = 0
thanks in advance :)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
ax%5E2+%2B+bx+%2B+c+=+0....factor x
x%28ax%2Bb%29+%2B+c+=+0
assume a,b,c are all odd, then for this to+have a solution, x%28ax%2Bb%29 must be odd as well
however,
if x is odd, ax%2Bb is even; so, x%28ax%2Bb%29 is even


so, if a,b,c are all odd, there are no+possible+solutions, the equation ax%5E2%2Bbx%2Bc=0 has no+rational+roots