1) 36x² -(3x -27)² =0
(6x -(3x-27))(6x +(3x-27))=0
(6x-3x+27)(6x+3x-27) =0
(3x+27)(9x -27) =0
3(x+9)*9(x -3) =0
27(x+9)(x -3) =0
x+9 =0, x= -9
x -3 =0, x =3
ответ: x= -9, x =3
2) (4x -7)² -(2x+17)² =0
(4x-7 -(2x+17))(4x-7 +(2x+17) =0
(4x-7 -2x-17)(4x-7 +2x+17) =0
(2x -24)(6x +10) =0
2(x -12)*2(3x +5) =0
4(x -12)(3x +5) =0
x -12 =0, x =12
3x+5 =0, 3x= -5, x= -5/3 = -1 2/3(минус одна целая две третьих)
ответ: x= -1 2/3, x =12