Question

Solve for x:1/(x+1) + 2/(x+2) =4/(x+4),x not equal to -1,-2,-4

Answer 1

Answer:

x=13-√73/4 or 13+√73/4

Step-by-step explanation:

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

cross multiplication

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

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

3x+4/(x+1)(x+2)=1/x+4

(3x+4)(x+4)=1(x+1)(x+2)

3x^2+12x+4x+16=x^2+1x+2x+4

2x^2-13x+12=0