Question

Solve for x: (2/x-2) + (7/x^2-4) = (5/x)

a. x = -(4/3) and x = 5
b. x = (4/3) and x = 5
c. x = (4/3 and x = –5
d. x = -(4/3) and x = –5
Thanks!

Answer 1

2x(x+2)+7x=5(x-2)(2+2)

Answer 2

2x^2+4x+7x=5x^2-20

Answer 3

I'll let Lgba finish

Answer 4

Okay thanks!!

Answer 5

the lcm of everything here is (x+2)(x-2)x

multiply everything by that...you'll get

2(xx+2) + 7x = 5(x^2-4)
2x^2 + 4x + 7x = 5x^2 -20
11x + 2x^2 = 5x^2 -20
3x^2 - 11x -20 = 0

(3x-4)(x+5)

equate the factors to zero...

3x - 4 = 0; x +5 = 0

so 3x = 4
x = 4/3
and
x = -5

darn bah was a fast typer @_@

Answer 6

that was incorrect! i used that one & i got it wrong.