Question

ПОМОГИТЕ РЕШИТЬ УРАВНЕНИЕ 2/x^2-3x-1/x+3=12/x^3-9x

Answer 1

2/x(x-3) -12/x(x²-9) -1/(x+3) =0

2/x(x-3) -12/x(x-3)(x+3) -1/(x+3)=0

(2(x+3) -12 -x(x-3)) /x(x-3)(x+3) =0

2x+6-12-x²+3x =0

5x -6 -x² =0; *(-1)

x² -5x +6 =0

D =25 -4*6 =1

x1 =(5 -1)/2 =2

x2 =(5+1)/2 =3