1/x-3 + 1/ x+4 = 9/8 find all real solutions

Question

1/x-3  + 1/ x+4  = 9/8 find all real solutions

harsimran_hs4 · Answer

this is equivalent to
8[(x+4) + (x-3)] = 9(x-3) (x+4)

solve this quadratic eq and if you get 3 or -4 as solution then reject them
thats it

anonymous · Answer

SO NO REAL SOLUTION?

harsimran_hs4 · Answer

??
first solve this quadratic and tell me the solution you got?

anonymous · Answer

$$\frac{ 7\pm \sqrt{37535} }{ 18 }$$

anonymous · Answer

at first I got 9x^2-7x-116 = 0 but I couldnt figure out how to factor it so I did the quadratic equation plugged in and got that.

harsimran_hs4 · Answer

so i believe that your calculation are correct 
so since none of your x is 3 or -4 
you have 2 real solutions to this equation

anonymous · Answer

the funny thing is I type that in this dumb online program and it said it was wrong.. and my school created the program as a review program.

anonymous · Answer

anyway thank you for your help.

harsimran_hs4 · Answer

if you still have any confusion please ask

directrix · Answer

Is the problem supposed to read as follows:
1/(x-3)  + 1/(x+4)  = 9/8

anonymous · Answer

$$\frac{ 1 }{ x-3 }+ \frac{ 1 }{ x+4 }=\frac{ 9 }{ 8 }$$

directrix · Answer

@P->Q  Thanks.

directrix · Answer

I see two real solutions. Did you find them?

anonymous · Answer

no I did not srry

directrix · Answer

This --> 1/(x-3)  + 1/(x+4)  = 9/8

cranks out as -29/9 and 4.

anonymous · Answer

srry I gave up Im too tried of this.