Proof by contradiction: n^3-n-6=0 means m^3 - m -

Dashawn Clark

Dashawn Clark

Answered question

2022-04-24

Proof by contradiction: n3n6=0 means m3m60 when mn

Answer & Explanation

drenkttj9

drenkttj9

Beginner2022-04-25Added 20 answers

It looks like your proof would be assuming n3n6=0,mn (where m, nZ) showing a contradiction if we had m3m6=0 as well. You have shown by factoring and the fact that m, nZ, that m, n=2. Hence m=n, a contradiction.
Felicity Carter

Felicity Carter

Beginner2022-04-26Added 16 answers

We have
n3n6=0
(n1)n(n+1)=1.2.3n=2
thus (m1)m(m+1)6m2.

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