- #1
thomas49th
- 655
- 0
Homework Statement
Homework Equations
Show that the equation
[tex]\frac{2}{x+1}+\frac{1}{x+2} = \frac{1}{2}[/tex]
can be written as [tex]x^{2} + x - 4 = 0 [/tex]
The Attempt at a Solution
mulitply the fractions on the LHS numerators by opposite denominators and multiply denominators togethter giving me:
[tex] \frac{3x + 5}{x^{2} + 3x + 2} = \frac{1}{2}[/tex]
cross multiply
[tex]x^{2} + 3x + 2 = 6x + 10[/tex]
which is rearanged to give [tex]x^{2} - 3x - 8 = 0 [/tex]
which is wrong :(
Where have I gone wrong
Thx