SOLUTION: Solve 4 - a-5/a+3 = a^2-1/a+3, and what does a=?

Question 397929: Solve 4 - a-5/a+3 = a^2-1/a+3, and what does a=?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve 4 - a-5/a+3 = a^2-1/a+3, and what does a=?
---
Multiply thru by (a+3) to get:
4(a+3) - (a-5) = a^2-1
----
4a+12 -a+5 = a^2-1
3a+17 = a^2-1
a^2-3a-18 = 0
----
Factor:
(a-6)(a+3) = 0
---
a = 6 or a = -3.
====
But a cannot be -3 as that would
make a+3 be zero in the denominator.
---
Only solution:
a = 6
=========
Cheers,
Stan H.
=========
RELATED QUESTIONS
let cos A = -5/13 with A in Q2 and sin B= 3/5 with B in Q1 Find 1. CSC(A-B) 2.... (answered by lwsshak3)

Let A = {1, 2, 3, 4, 5, 6, 7}. How many subsets does A... (answered by stanbon)

What operation does "@" do? Study these examples a. 4@5=3 b. 7@2=12 c.5@2=8 d.... (answered by solve_for_x)

1/B=A+2/A-3 Solve for A and 1/3-x-1/5=x/3 Solve for... (answered by ankor@dixie-net.com)

solve a - 1/3 =... (answered by checkley77)

what does a- 3/4 = 1/8 equal (answered by ikleyn)

solve: 3/5 + 2 / x - 1 = 4 / 5x - 5 a) 5 / 3 b) - 5 / 3 c) 1 d)... (answered by JBarnum)

solve 5/x=3/2 and [x/(x-2)]-[5/x]=3/4 and (a-2)/(a^2-4)=1... (answered by checkley71)

How do I plot the points (4, -6), (-1, -5) and (-3, 2) on a graph and what does it look... (answered by College Student)