Complex Expression

wizzl

New member
Joined
Sep 27, 2005
Messages
5
I need help solving this:


= -3000 + 2500/(1 +x) + 1000/(1+x)^2

The answer is .1289

How do they get this?


Thanks in advance for any information.
 
= -3000 + 2500/(1 +x) + 1000/(1+x)^2


multiply all by (1+x)^2


= -3000(1+x)^2 + 2500 (1+x) + 1000

expand this and solve the quadratic.
 
As apm says, multiply by (1+x)^2 to get:
-3000(1+x)^2 + 2500 (1+x) + 1000 = 0

To make it a bit easier, multiply by -1, then divide by 500:
6(1 + x)^2 - 5(1 + x) - 2 = 0

As apm says, now expand, then use quadratic.

You'll get 2 answers: .1287~ and -1.2953~
These will be from:
x = [-7 +- sqrt(73)] / 12 (which you'll get from the quadratic).

You can make it easier still by letting a = 1 + x; then equation becomes:
6a^2 - 5a - 2 = 0

After getting a by using the quadratic, don't forget to re-substitute:
1 + x = a
x = a - 1
 
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