Solution to Suppose a ϵ Z. Prove by contradiction that if a2 -2a + 7 is even, … - Sikademy
Author Image

Archangel Macsika

Suppose a ϵ Z. Prove by contradiction that if a2 -2a + 7 is even, then a is even.

The Answer to the Question
is below this banner.

Can't find a solution anywhere?

NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?

Get the Answers Now!

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

a2 -2a + 7 for a ϵ Z is odd sense a*2 -2*a +7 = 7

If the task condition a2-2*a+7:

a2-2*a+7 = (a-2)2+3

(a-2)2+3 is even if (a-2)2 is odd

if (a-2)2 is odd then a is odd

Hence the hypothesis is false and proof is not possible

Answer: proof is not possible


Related Answers

Was this answer helpful?

Join our Community to stay in the know

Get updates for similar and other helpful Answers

Question ID: mtid-5-stid-8-sqid-3648-qpid-2347