Show life that you have a thousand reasons to smile
© Copyright 2024 DOKU.TIPS - All rights reserved.
√x = 10√3 - √y
x = 300 +y - 20√(3y)
x ∈ N ⇔ √(3y) ∈ N ⇒ 3y = p.p. ⇒ y ∈{3, 3³, 3⁵.....3²ⁿ⁺¹} | 300+y≥20√(3y)
ptr. y = 3 x = 303 - 60 = 243
y = 27 x = 327 - 180 = 140
y = 243 x = 543 - 20·27 = 543 - 540 = 3 ⇒
⇒ (x,y) ∈ { (243,3) , (140,27)}