Solve in integers the equation: ( x 2 </msup> &#x2212; 4 y ) + (

protestommb

protestommb

Answered question

2022-06-24

Solve in integers the equation: ( x 2 4 y ) + ( y 2 4 x ) + x y ( x 4 ) ( y 4 ) = 2021

Answer & Explanation

lilao8x

lilao8x

Beginner2022-06-25Added 22 answers

Method:
x ( x 4 ) + y ( y 4 ) + x y ( x 4 ) ( y 4 ) = 2021
Let A = x ( x 4 ) , B = y ( y 4 )
Hence ( 1 + A ) ( 1 + B ) = 2022. ( 1 + x 2 4 x ) ( 1 + y 2 4 y ) = 2022.

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