bonjour
n ² + ( n + 1 )² = 4 141
n² + n² + 2 n + 1 = 4 141
2 n² + 2 n + 1 = 4 141
2 n² + 2 n = 4 140
2 n² + 2 n - 4140 = 0
Δ = 4 - 4 ( 2 * - 4140 ) = 33 124
x ₁ = ( - 2 - 182 ) / 4 = - 184 / 4 = - 46
x ² = ( - 2 + 182 ) / 4 = 180/4 = 45
45 ² +46 ² = 4 141
