Question 66050: I need help solving:
9/x-5 - 1 = 8/x+5
I have attempted this one a few times, but to no avail. Someone please help me????? Answer by tanimachatterjee(60) (Show Source):
You can put this solution on YOUR website! 9/x-5 - 1 = 8/x+5
or [9-(x-5)]/x-5 = 8/x+5
or 14-x/x-5 = 8/x+5
or (14-x)(x+5) = 8(x-5)[cross multiplications]
or 14x + 70 -x2 -5x = 8x - 40
or -x2 +14x -5x -8x +70 +40 =0
or -x2 + x + 110 =0
or x2 -x -110 = 0[multiplying both sides by -1]
or x2 -11x +10x -110 =0[middle term breaking]
or x(x -11) +10(x-11)=0
or (x+10)(x-11)=0
therefore either x+10=0 , x=-10
or x-11=0 ,x=11
(