De oplossingenverzameling
van de vergelijking
(x − 5)2 = (x + 5)(x − 5)   is
A.  { 10 }
B.  
C.  { 0 }
D.  { − 5 }
E.  { 5 }
                 

[ 4-4426 - op net sinds 3.3.2020-(E)-27.10.2023 ]

Translation in   E N G L I S H

The solution of
(x − 5)2 = (x + 5)(x − 5)
is 		A.   x = 10
B.   all x
C.   x = 0
D.   x = − 5
E.   x = 5

Oplossing - Solution

  (x − 5)² = (x + 5)(x − 5)
⇔ (x − 5)² − (x + 5)(x − 5) = 0
⇔ (x − 5)(x − 5 − x − 5) = 0
⇔ ( x − 5)(2x − 10) = 0
⇔ 2(x − 5)(x − 5) = 0
⇔ x = 5