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

Question 553896: I need help with the following equation for all real numbers.

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) (Show Source): You can put this solution on YOUR website!

The LCD of the equation is 4(x-1)(x+2)
multiply by the LCD

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

RELATED QUESTIONS
Hi I really need help with these questions please. Could someone show their solution too... (answered by LinnW)

I need to solve for a in the equation V = xyz, where {{{x = 2/(1+a)}}}, {{{y =... (answered by stanbon,troyapplehelen)

I am having some difficulties working functions which have numbers raised to fractional... (answered by jim_thompson5910)

solve the following equation for real numbers x and y. ((1+i)/(1-i))^2+1/(x+iy)=1+i. (answered by Alan3354)

I need help completing the square for this problem. 16x^2-16x-5=0 So far I have... (answered by Msgenes)

I have been working on this problem forever and can not come up with the answer in the... (answered by khwang)

Hi, I need some help with this problem.It says solve the equation and assume the... (answered by lynnlo)

I need help with the following: Classify the given numbers as real and rational, real... (answered by vleith)

I need help on this problem. which of the following is (x-2)(x+5)/ (x+5)(x-1)... (answered by ewatrrr)