2007-10-11 13:09:56 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
9/x-5-1=8/x+5
I think this is meant to be written as:
9/(x-5)-1=8/(x+5)
So you must multiply by both denominators
This is (x^2-25)
So, 9 (x^2-25)/ (x-5) - 1(x^2-25) = 8 (x^2-25)/(x+5)
This is 9(x+5) - (x^2-25) = 8 (x-5)
Simplifying 9x +45 - x^2 +25 = 8x - 40
Some more x + 85 - x^2 +25 = 0
X^2 -x -110 = 0
if it is as written then it is quite easy
Simplify 9/x -6 = 8/x + 5
1/x =11
x = 1/11
2007-10-11 13:12:57 · answer #1 · answered by ignoramus 7 · 0⤊ 0⤋
9/x - 5 - 1 = 8/x + 5
9/x - 8/x = 5 + 5 + 1
1/x = 11
x = 1/11
Answer: x = 1/11
Proof (plug x with 1/11 and prove equality of both sides of the original equation):
(9/[1/11]) - 5 - 1 = (8/[1/11]) + 5
(9 * 11) - 6 = (8 * 11) + 5
99 - 6 = 88 + 5
93 = 93
2007-10-11 13:22:04 · answer #2 · answered by Jun Agruda 7 · 2⤊ 0⤋
9/(x-5) -a million= 8/(x+5) 9/(x-5) - (x-5)/(x-5) = 8/(x+5) (9-x+5)/(x-5) = 8/(x+5) (14-x)/(x-5) = 8/(x+5) (14-x)(x+5) = 8(x-5) 14x + 70 - x^2 - 5x = 8x - 40 0 = x^2 + 8x + 5x - 14x - 40 -70 0 = x^2 - x - a hundred and ten (x-11)(x+10) = 0 x = 11, -10
2016-12-29 05:31:21 · answer #3 · answered by Anonymous · 0⤊ 0⤋
9/x-6=8/x +5
9/x=8/x+11
x=72/x +99
72x=x+7128
71x=7128
x=100
2007-10-11 13:15:24 · answer #4 · answered by Lynn A 4 · 0⤊ 0⤋
9-x=8
x=1
2007-10-11 13:15:06 · answer #5 · answered by john 4 · 0⤊ 0⤋