Math nerds unite!

omgshovelyouinthebutt? · Posted: Mon Sep 22, 2003 6:27 pm Post subject: Math nerds unite!

Allready i need help cause im totally confused.... i need to Setup, Translate, and Interpret the following.

Find two consecutive natrual numbers such that the difference of there reciprocals is one-forth the reciprocal of the smaller number.
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Violent Pacifist · Posted: Mon Sep 22, 2003 7:01 pm Post subject:

The answer is 4 and 5

A natural number is a number that is a whole, non negative number. Since they have to be consecutive, we have to use one number and the number that foloows directly after it.

Knowing this, any combination of numbers we pick will end up with the difference 1/1

1/5 - 1/4 = 1/1
1/22 - 1/21 = 1/1
1/1000 - 1/999 = 1/1

Ex. We pick X and Y, 2 consecutive natural numbers. The reciprocals of these variables are 1/x and 1/y. Because we have to pick numbers that go in consecutive order, y is the bigger. So our equation is now 1/y - 1/x = 1/1. We can do this with any 2 consecutive numbers, as I said earlier, but you have to select two that will have a difference of 1/4 of your smaller number. Knowing that our answer will always be 1, we can ask what number does 1 go into 4 times. Obviously, the answer is 4. Because 4 has to be the smaller number, our second number is 5.

And there ya go

I actually hate math, even though I'm fairly good at it.
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Monk · Posted: Mon Sep 22, 2003 7:03 pm Post subject:

Alright! Homework Helper! Anybody want to write me an essay on the principle of evil as depicted in Goethe's Faust?
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Amen!
<TVB>Monk - Burning HWGs since 2001.
Now located at The Pensive Penguin.

PondScum007 · Posted: Mon Sep 22, 2003 7:03 pm Post subject:

x and x+1 are your numbers,

1/(x+1) - 1/x = (1/x)/4

bla bla x = 4
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shockwave · Posted: Mon Sep 22, 2003 7:18 pm Post subject:

If you want the full answer look here:

given:
abs(1/x-1/y)=1/4*1/x
x+1=y

solution #1: if 1/x-1/y >= 0

1/x-1/y=1/4*1/x
1/x-1/(x+1)=1/(4x)
-1/(x+1)=1/(4x)-1/x
-1/(x+1)=-3/(4x)
1/(x+1)=3/(4x)
3(x+1)=4x
3x+3=4x
x=3
y=4

solution #2: if 1/x-1/y < 0

1/(x+1)-1/x=1/(4x)
1/(x+1)=1/(4x)+1/x
1/(x+1)=5/(4x)
4x=5(x+1)
4x=5x+5
-x=5
x=-5
y=-4

now to check my work
1/3-1/4=1/(4*3) - true
1/-4-1/-5=1/(4*-5) - true

so the answer is (x,y) = (3,4) and (-5, -4).

shockwave · Posted: Mon Sep 22, 2003 7:32 pm Post subject:

[HALO]MasterChief · Posted: Mon Sep 22, 2003 8:04 pm Post subject:

aaaaaaaaaaaa MY HEAD!!!! *POP*
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Replica · Posted: Mon Sep 22, 2003 8:14 pm Post subject:

anyone want to do me a pen and ink illustration of a weapon, a flag, a hat and an instrument by tomorrow? mine sucks and i need a replacement
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Azrael · Posted: Mon Sep 22, 2003 8:15 pm Post subject:

eek!!!!

ack ack ack!!! Must.....hide.....can't feel......toes.........damned..... math.......beeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeep

We're sorry, the number you have dialed has been temporarily disconnected. If you feel you have reached this number in error, please hang up and try your call again. Thanks you. Message 135711.
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shockwave · Posted: Mon Sep 22, 2003 9:54 pm Post subject:

Monk · Posted: Mon Sep 22, 2003 10:00 pm Post subject:

cobra · Posted: Tue Sep 23, 2003 8:14 am Post subject:

[HALO]cpt._Keyes · Posted: Tue Sep 23, 2003 4:13 pm Post subject: