Question 1006071: If a, b, c are odd integers, then the equation ax2 + bx + c = 0 has no integer solution.
How can I prove this?
Sorry if its the wrong section >.<
Answer by ikleyn(52788)   (Show Source):
You can put this solution on YOUR website! .
If a, b, c are odd integers, then the equation ax2 + bx + c = 0 has no integer solution.
-----------------------------------------------------------------
Proof
Write the equation in the form
 =  .
If x is even then the left side is even, while the right side is odd. Contradiction.
If x is odd, then the left side is even, while the right side is odd. Contradiction again.
Hence, the equation has no solution(s) under the given conditions.
The proof is completed.
|
|
|
