Question 389713
Find Solutions of (1/x-1)=(x+2/4)
Assume the problem is:
{{{1/(x-1)}}} = {{{(x+2)/4}}}
Cross multiply
(x-1)(x+2) = 1 * 4
FOIL
x^2 + 2x - 1x - 2 = 4
x^2 + x - 2 - 4 = 0
x^2 + x - 6 = 0
Factor
(x+3)(x-2) = 0
x = -3
and
x = 2
:
:
Check solutions in original problem
x=-3
{{{1/(-3-1)}}} = {{{(-3+2)/4}}}
{{{1/(-4)}}} = {{{(-1)/4}}}
:
You can check the x=2 solution