Verified answer

(x+1)√(x²-6x+17) = 3x+3

Одз x²-6x+17>=0  D=36 - 4*17 <0 все значения

(x+1)√(x²-6x+17) - 3(x+1) = 0

(x+1)(√(x²-6x+17) - 3) = 0

x=-1

√(x²-6x+17) = 3

x²-6x+17 = 9

x²-6x+8 = 0

D=36 - 32 = 4

x12=(6+-2)/2 = 2 4

ответ x={-1  2   4}