Question

PLEASE HELP Solve the rational equations:
a) 4/x-2 - 3/x+1 = 8/x^2-x-2

b) 2x/x-2 - 4x-1/3x+2 = 17x+4/3x^2-4x-4

c) 5x+2/10x-3 = x-8/2x+3

d) x/3x-5 = 2/x-1

I've tried so many ways and have not been able to come up with an answer

Answer 1

ill try, would you mind helping me on mine?

Answer 2

take LCM on LHS and make factor of x2-x-2 cancel same factor

Answer 3

LHS=4(x+1)-3(x-2) upon (x+1)*(x-2)

Answer 4

Ok so lets see. Substitute x with 1 to begin with.

Answer 5

that works btw, you can check the work if you want, it ends up being -2=-2

Answer 6

x2-x-2
=x2-(2-1)x-2
=x2-2x+x-2
=x(x-2)+1(x-2)
=(x-2)(x+1)

Answer 7

cancel x-2 on both side