Question

Solve X + 1 / X - 1 + X - 2 / X + 2 = 3

Answer 1

Answer:

x+1/x-1 + x-2/x+2 =3

(x+1)(x+2)+(x-2)(x-1)/(x-1)(x+2) =3                           (LCM)

x²+3x+2+x²+x²-3x+2/x²+x-2 =3                           [(a+b)(a+c)=a²+(b+c)a+bc]

2x²+4/x²+x-2=3

2x²+4=3x²+3x-6                              (multiplied by 3 by taking den to the other                                            

x²+3x-10=0                                        side)

x²+5x-2x-10=0

x(x+5)-2(x+5)=0

(x-2)(x+5)=0

x-2=0 AND x+5=0

x=2  AND x= -5

Step-by-step explanation: