but have no idea how this was solved. any help is appreciated. Thanks.

Hi Joe,

Since w^{2} - 1 = (w - 1)(w + 1) if you multiply the numerator and denominator of the second equation by (w + 1) the two fractions will have the same denominator. Do this and then multiply both sides of the equation by w^{2} - 1 to yield a quadratic equation you can solve for w. Check to see if the solutions to the quadratic are actually solutions to the original equation.

Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.