If the reciprocal of x+1 is x-1 determine x.
Hello, ceasar_19134!
If the reciprocal of x + 1 is x - 1, determine x
. . . . . . . . . . . . . . .1
The equation is: . ------- .= . x - 1
. . . . . . . . . . . . . x + 1
Assuming x ≠ -1, multiply both sides by (x + 1): . 1 .= .(x + 1)(x - 1)
- - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ._
And we have: . x² - 1 .= .1 . → . x² .= .2 . → . x .= .±√2