√(6x - 14) + √(5 - x) = √(5x - 9)
6x - 14 + 2√(6x - 14)(5 - x) + 5 - x = 5x - 9
5x - 9 + 2√(6x - 14)(5 - x) = 5x - 9
2 √(6x - 14)(5 - x) = 0
4 (6x - 14)(5 - x) = 0 / : 4
(6x - 14)(5 - x) = 0
1) 6x - 14 = 0
6x = 14
x = 7/3
2) 5 - x = 0
- x = - 5
x = 5
Ответ
5 ; 7/3