Question

2√x-1 - √x+4 = 1
решить и рассписать

Answer 1

2/х-1 - /х+4=1
2/х-1 = 1+/х+4
4(х-1) = 1+2/х+4
4х-4 = 5+2/х+4+х
-2/х+4 = 5+х-4х+4
-2/х+4 = 9-3х
4(х+4) = 81-54х+9х^2
4х+16 = 81-54х+9х^2
4х+16-81+54х-9х^2 = 0
58х-65-9х^2 = 0
9х^2+58х+65 = 0
х(9х-13)-5(9х-13) = 0
(9х-13)(х-5) =0

9х-13=0
х-5=0

х=5