Question

1/x+1 + 2/x+2 = 4/x+4​

Answer 1

Answer:

-1

Step-by-step explanation:

1/x +1+ 2/x +2= 4/x +4

1/x +2/x -4/x= 4-2-1. (take LCM)

-1/x=1

x=-1

hope it helps

Answer 2

Step-by-step explanation:

1/x + 1. + 2/x+ 2 = 4/x+4

1(x+2) + 2(x+1)/(x+1)(x+2) = 4/x+4

(x + 2 + 2x + 2)/(x^2 + 2x + x + 2) = 4/x + 4

3x + 3 / x^2 + 3x + 2 = 4/x + 4

(x + 4)(3x + 3) = 4(x^2 + 3x + 2)

3x^2 + 3x + 12x +12 = 4x^2 + 12x + 8

3x^2 + 15x + 12 = 4x^2 + 12x + 8

0 = 4x^2 - 3x^2 + 12x - 15x +8 - 12

0 = x^2 - 3x - 4

by splitting the middle term

x^2 - 4x + x - 4

x( x - 4) 1(x - 4)

(x + 1)(x - 4)

if

x + 1 = 0

x = -1

or

x-4=0

x = 4