SOLUTION: The section that I am on in my class is over contradiction. The equation is Show that neither x=1 or x=-1 can be solutions to the equation ax^2+bx+a=0 where a and b are integers w

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Question 32196: The section that I am on in my class is over contradiction. The equation is Show that neither x=1 or x=-1 can be solutions to the equation ax^2+bx+a=0 where a and b are integers with b odd.
Answer by mbarugel(146)   (Show Source): You can put this solution on YOUR website!
Hello!
Try plugging x = 1 into the equation. You get:



However, b is odd, but 2a is even (two multiplied by any number yields an even number). Therefore, x=1 can't be a solution to the equation.
When plugging x = -1, we get:



Using the same reasoning, we conclude that x=-1 can't be a solution of your equation.

I hope this helps!
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