Question

Неравенство: x-4+√x-4/x-2<6/x-2

Answer 1

x-4+√x-4/x-2<6/x-2
x-4+√x-4/x-2 - 6/x-2<0
x-4+√x-4 - 6/x-2<0
x-10+√x-4/x-2<0
х-2>0
х>2
x-10+√x-4<0
x-4<(х-10)^2
х-4<х^2-20х+100
-х^2+х+20х<4+100
-х^2+21х-104<0
х^2-21х+104>0
х1=8
х2=13
(х-8)(х-13)>0
х>8 х<8
х>13 х<13
х>2