what values of x is the reciprocal of x+1 equal x-1?

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2007-01-17 14:49:36 · 4 answers · asked by king218@sbcglobal.net 1 in Science & Mathematics ➔ Mathematics

1/(x+1) = (x-1)
(x+1)(x-1) = 1
x^2-1^2=1
x^2=2
x=sq.root of 2 ~ 1.414

2007-01-17 15:00:37 · answer #1 · answered by tdrajagopal 6 · 0⤊ 1⤋

Square root of 2

2007-01-17 22:55:09 · answer #2 · answered by Anonymous · 0⤊ 0⤋

{1/(x+1)}=x-1
thus
x*x-1=1
x*x=2
(taking square roots)

x=+1.414 or x=-1.414
Tell me if thts the rite answer !!!

2007-01-17 22:54:29 · answer #3 · answered by kedarzc_01 2 · 0⤊ 0⤋

1/(x+1) = x-1
1=(x+1)(x-1)
1=x^2-1
x^2=2
x=+/-sqrt(2)

2007-01-17 22:52:45 · answer #4 · answered by Anonymous · 0⤊ 0⤋