Question

Solve Each Equation. Check Each Solution

Answer 1

There are two variables and only one equation, which is not enough for solving.

Answer 2

\[\frac{ 1 }{b+1}+\frac{1}{b−1}=\frac{ 2 }{ b^2−1}\]

Answer 3

That's better. Factor b^2 - 1, and make all terms to have the same denominator. Then you should be able to reduce this into a quadratic equation.

Answer 4

I have gotten this far. now what?
\[\frac{ 1 }{b+1}+\frac{1}{b−1}=\frac{ 2 }{ (b+1)(b-1)}\]

Answer 5

Firstly move the right hand side's term to the left hand side. Then, find the GCD of the denominators (which is (b+1)(b-1)). Now, multiply the terms that are missing part of the GCD (e.g the first term would become (b-1)/(b+1)(b-1)), and simplify the whole equation so you get STUFF/(b+1)(b-1) = 0.