SOLUTION: I need help with the following equation for all real numbers. {{{1/(x-1)+1/(x+2)=5/4}}} I've working on this problem for a while but i think i'm going about it the wrong way.fi

Algebra ->  Equations -> SOLUTION: I need help with the following equation for all real numbers. {{{1/(x-1)+1/(x+2)=5/4}}} I've working on this problem for a while but i think i'm going about it the wrong way.fi      Log On


   

Question 553896: I need help with the following equation for all real numbers.
1%2F%28x-1%29%2B1%2F%28x%2B2%29=5%2F4
I've working on this problem for a while but i think i'm going about it the wrong way.first i subtract
and i know that next i need to multiply by the common denominator but i think im getting something mixed up the book says there are two solutions x=1.4,2 i'm not getting anythin near that can you please help
Thanks
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x-1%29%2B1%2F%28x%2B2%29=5%2F4
The LCD of the equation is 4(x-1)(x+2)
multiply by the LCD

4%28x%2B2%29%2B4%28x-1%29=5%2A4%2A%28x-1%29%28x%2B2%29
4x+8+4x-4=5(x^2+x-2)
8x+4=5x^2+5x-10
5x^2-3x-14=0
5x^2-10x+7x-14)=0
5x(x-2)+7(x-2)=0
(x-2)(5x+7)=0
x= 2 OR 7/5