Solutions with x,y positives integer for <mrow class="MJX-TeXAtom-ORD"> x </mrow>

Kyla Ayers

Kyla Ayers

Answered question

2022-06-05

Solutions with x,y positives integer for x 4 + 4 x 3 + 6 x 2 + 4 x + 16 = y 2

Answer & Explanation

scipionhi

scipionhi

Beginner2022-06-06Added 25 answers

Rewrite as
( x 2 + 2 x + 1 ) 2 + 15 = y 2 y 2 A 2 = 15
for A = x 2 + 2 x + 1 Z
But then ( y A ) ( y + A ) = 15 so we seek divisors of 15 , and there are only a few cases to check.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?