SOLUTION: How do I solve the equation b/b-1 + 2/b-4 ? can I just use the quadratic equation? when I use the quadratic equation it comes out {{{ b= 2sqrt(3) }}} is that the correct answer?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I solve the equation b/b-1 + 2/b-4 ? can I just use the quadratic equation? when I use the quadratic equation it comes out {{{ b= 2sqrt(3) }}} is that the correct answer?       Log On


   



Question 598111: How do I solve the equation b/b-1 + 2/b-4 ? can I just use the quadratic equation? when I use the quadratic equation it comes out +b=+2sqrt%283%29+ is that the correct answer?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve the equation b/b-1 + 2/b-4 ? can I just use the quadratic equation? when I use the quadratic equation it comes out is that the correct answer?
------
Least common Divisor: (b-1)(b-4)
----
Rewrite each fraction with the lcm as its denominator:
----
(b(b-4))/lcm + (2(b-1))/lcm
----
Combine the numerators over the denominator to get:
----
= (b^2-4b+2b-2)/lcm
---
Simplify:
= (b^2-2b-2)/[(b-1)(b-4)]
===========================
Cheers.
Stan H.