Login

Welcome, Guest. Please login or register.

March 29, 2024, 03:06:55 am

Author Topic: Stuck with a transposition, help??  (Read 1639 times)  Share 

0 Members and 1 Guest are viewing this topic.

Timtasticle

  • Victorian
  • Trendsetter
  • **
  • Posts: 104
  • Respect: 0
Stuck with a transposition, help??
« on: November 10, 2007, 04:18:32 pm »
0



I always stuff these up. Can someone explain how to get the left hand side into the form of the right hand side?

Toothpaste

  • pseudospastic
  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1648
  • Member #10
  • Respect: +26
Stuck with a transposition, help??
« Reply #1 on: November 10, 2007, 04:32:25 pm »
0
Long division. :D

Timtasticle

  • Victorian
  • Trendsetter
  • **
  • Posts: 104
  • Respect: 0
Stuck with a transposition, help??
« Reply #2 on: November 10, 2007, 04:36:06 pm »
0
I see, care to elaborate?

Toothpaste

  • pseudospastic
  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1648
  • Member #10
  • Respect: +26
Stuck with a transposition, help??
« Reply #3 on: November 10, 2007, 04:38:23 pm »
0



hence:

(2x+1)/(x-5)

= 2 + [11 / (x-5)]

hope that made sense.

"answer" plus [ "remainder" / "what you are dividing it by(denominator)" ]

Timtasticle

  • Victorian
  • Trendsetter
  • **
  • Posts: 104
  • Respect: 0
Stuck with a transposition, help??
« Reply #4 on: November 10, 2007, 04:39:55 pm »
0
Oooohh I see. :o

I always try and separate the fractions  :oops:

Thanks heaps for your help!!

Toothpaste

  • pseudospastic
  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1648
  • Member #10
  • Respect: +26
Stuck with a transposition, help??
« Reply #5 on: November 10, 2007, 04:44:21 pm »
0
No problem, anytime.

Collin Li

  • VCE Tutor
  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4957
  • Respect: +17
Re: Stuck with a transposition, help??
« Reply #6 on: November 10, 2007, 05:11:07 pm »
0
Quote from: "Timtasticle"
(Image removed from quote.)


I always stuff these up. Can someone explain how to get the left hand side into the form of the right hand side?


Faster way:

(2x+1) / (x-5) = [ 2(x-5) + 10 + 1 ] / (x-5) = 2 + 11/(x-5)

The trick is to force (x-5), the denominator to appear on the numerator, and create a compensation term (like you do with completing the square). I introduced 2(x-5) because we have 2x, so we need the 2 outside, then compensated by adding 10 (because 2*-5 from 2(x-5) would be -10). Added to the original 1, gives 11 as a remainder.

Feel free to ask for clarification, because I did rush that explanation.

kido_1

  • Victorian
  • Forum Leader
  • ****
  • Posts: 526
  • Respect: +6
Stuck with a transposition, help??
« Reply #7 on: November 10, 2007, 05:50:12 pm »
0
Ah. Good old coblin.
Always to the rescue. :P
oping for an ENTER of 99+