1 /3x+9 - 2/x+3=2
A. x=1
B. x=-23/6
c. x=-5/2
d. x= -5
To solve this equation, first combine the fractions:
(1/3)x + 9 - 2/(x + 3) = 2
Multiply each term by 3(x+3) to get rid of the fractions:
x(x+3) + 27(x+3) - 6 = 6(x+3)
x^2 + 3x + 27x + 81 - 6 = 6x + 18
x^2 + 30x + 75 = 6x + 18
x^2 + 24x + 57 = 0
Now we have a quadratic equation. To solve it, we can factorize it:
(x + 3)(x + 19) = 0
x = -3 or x = -19
So the correct answer is not listed among the given options.