Question

1/X+1+2/X+2=5/X+4 quadratic solutions​

Answer 1

Answer:

x =  $\frac{- 13 }{4}$ ± $\frac{\sqrt{57} }{4}$

Step-by-step explanation:

1/(x + 1) + 2/(x + 2) = 5/(x + 4)

x+2 + 2(x+1) = 5(x+1)(x+2)/(x+4)

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

3(x^2) + 16x + 16 = (x^2) + 3x + 2

2(x^2) + 13x + 14 = 0

x =  $\frac{- 13 }{4}$ ± $\frac{\sqrt{57} }{4}$