De
oplossingen-
verzameling
van   x = x 2
is
A.   { 1 }
B.   { 0 }
C.   { 0 , 1 }
D.   [ 0 , 1 ]
E.   {  }
                 

[ 4-0504 - op net sinds 13.12.97-(E)-25.10.2023 ]

Translation in   E N G L I S H

Find the solution set
of the equation
  x = x 2
A.   { 1 }
B.   { 0 }
C.   { 0 , 1 }
D.   [ 0 , 1 ]
E.   {  }

Oplossing - Solution

x = x²  ⇔  x − x² = 0  ⇔  x(1 − x) = 0  ⇔  x = 0 ∨ 1 − x = 0  ⇔  x = 0 ∨ x = 1