Determine integral solutions of the Diophantine equation

where are distinct

Solutions:

, ,

If , then ,

If , then ,

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Here are a few

Format {a, b, c, d}

{1280,16,75,6000}

{-100439,1,2,-200878}

{-101915,1,48,-4891920}

{-101023,1,59,-5960357}

{1532,1,-98,-150136}

{668,1,44,29392}

{528,1,79,41712}

{-100000,32,-31,96875}

{208,-112,-35,65}

{-100003,1,86,-8600258}

{-100000,1,39,-3900000}

{-100118,1,22,-2202596}

{1508,14,-112,-12064}

{-99000,6,5,-82500}

{-100455,1,30,-3013650}

{-100455,30,122,-408517}

{-100968,1,8,-807744}

{-98344,12,9,-73758}

{1490,10,96,14304}

{1768,13,-4,-544}

Paul.

where are distinct integers

I posted above general solutions for b = 1 and b = 2