Welk geordend drietal is GEEN oplossing van de vergelijking
x² + y² + z²
  = xyz + x + y + z + 2 ? 		A.   ( 1, 2, 3 )
B.   ( 0, 1, 2 )
C.   ( −1, 0, 1 )
D.   ( 0, 0, −1 )
E.   ( 3, 6, 10 )
F.   ( 2, 3, 6 )
    A    B    C    D    E    F

[ 3-A084 - op net sinds 6.12.2025-(E)- ]

Translation in   E N G L I S H

Which ordered triple is NOT
a solution to the equation
x² + y² + z² = xyz + x + y + z + 2 ? 		A.   ( 1, 2, 3 )
B.   ( 0, 1, 2 )
C.   ( −1, 0, 1 )
D.   ( 0, 0, −1 )
E.   ( 3, 6, 10 )
F.   ( 2, 3, 6 )

Oplossing - Solution

A
B
C
D
E
F 		1²+2²+3²=1+4+9=14
0²+1²+2²=1+4=5
1+0+1=2
(–1)² = 1
3²+6²+10²=9+36+100=145
4+9+36=49 		1.2.3+1+2+3+2=6+8=14
0.1.2+0+1+2+2=0+5=5
0 –1+1+2=2
0 –1 + 2 =1
3.6.10+3+6+10+2=180+21=201
2.3.6+2+3+6+2=36+13=49

GWB