√(4·x) - 3 = (2·x - 17) / (√x - 1)
2·√x - 3 = (2·x - 17) / (√x - 1)
(2·√x - 3)·(√x - 1) = 2·x - 17
2·x - 5·√x + 3 = 2·x - 17
- 5·√x = - 20
√x = 4
x = 16
Jetzt die Probe
√(4·16) - 3 = (2·16 - 17) / (√16 - 1)
√64 - 3 = (32 - 17) / (4 - 1)
8 - 3 = 15 / 3
5 = 5
stimmt.