How do you solve x-(3/x) = -2?

1 Answer
Oct 20, 2015

color(blue)(x=-3) or color(red)(x=1)

Explanation:

Firstly take LCM.

(x^2-3)/x=-2

x^2-3=-2x

x^2+2x-3=0

Now mid term break.

x^2+(3-1)x-3=0

x^2+3x-x-3=0

x(x+3)-1(x+3)=0

Taking common.

(x+3)(x-1)=0

So either, color(blue)(x+3=0) or color(blue)(x=-3) OR color(red)(x-1=0) or color(red)(x=1).