Question

solve
2/x-2 - 1/x^2+x-6 =x/x+3

Answer 1

x = -1
OR
x = 5

Answer 2

Common Denominator:
((x-5) (x+1))/(x^2+x-6) = 0

Simplify:
(2 x+5)/((x-2) (x+3)) = x/(x+3)

Then Solve.

Answer 3

multiply through by LCD which is x^2+x-6
2 (x+3) - 1 = x(x-2)
2x+6 - 1 = x^2 -2x
x^2 -4x -5 = 0
(x-5)(x+1) = 0
x = 5 or -1

Answer 4

note x^2+x-6 = (x+3)(x-2)

Answer 5

ok with this gwunder?

Answer 6

yes thanks

Answer 7

great

Answer 8

x=-3/2