Official Everybody Edits Forums

Do you think I could just leave this part blank and it'd be okay? We're just going to replace the whole thing with a header image anyway, right?

You are not logged in.

#1 2019-06-25 13:12:47

AllenCaspe9510
Member
From: Heart Locket
Joined: 2018-03-24
Posts: 901
Website

Annoying Math Problems

Today, My teacher was sort of, tricked us and used confusing explanation on "Solving Quadratic Equations by Factoring"
Then I got a Score of 2/10, The Answers I saw was like, where did he even get this and he even didn't even tell us.
So can anyone help me to try to do this?

 

Confusing Problem

Hidden text

Ill send the full question later


I Animate Stuff

ezgif.com-gif-maker.gif

Offline

#2 2019-06-25 13:16:19, last edited by LukeM (2019-06-25 13:35:59)

LukeM
Member
From: England
Joined: 2016-06-03
Posts: 3,009
Website

Re: Annoying Math Problems

The general rule for algebra is that you can do anything you can do to normal numbers as long as you do them to both sides, so if you had x = y then you could multiply both sides by 2 to get 2x = 2y, or subtract 2 to get x - 2 = y - 2.

In this case you are subtracting one from both sides, which gives you 2x + 1 - 1 = 0 - 1, which you can then simplify to get 2x = -1, effectively 'moving' the 1 from one side to the other.

You can then just divide by two to get 2x / 2 = -1 / 2, which gives x = -1/2.

Hope this helps //forums.everybodyedits.com/img/smilies/smile

Offline

#3 2019-06-25 13:25:15, last edited by Anatoly (2019-06-25 13:33:27)

Anatoly
Guest

Re: Annoying Math Problems

For x = y, x and y in set of real numbers you can get ...

  1. ax = ay

  2. x + a = y + a

  3. x^a = y^a

  4. a^x = a^y

... for any a in set of real numbers. That means that you can:

  1. Add and subtract one number from both sides of an equation.

  2. Multiply and divide by any number not zero from both sides of an equation.

  3. Take any power or root from both sides of an equation.

Edit:

2x + 1 = 0
2x + 1 + (-1) = -1
2x = -1
2x * (1/2) = -1 * (1/2)
(2x/2) = -1/2
x = - 1/2

#4 2019-06-25 13:52:56

2b55b5g
Formerly 2B55B5G TNG
Joined: 2016-08-27
Posts: 3,005

Re: Annoying Math Problems

What that’s easy.


she/her

also known as DevilCharlotte

search 2bisniekitastan if you wanna find my worlds on ArchivEE

pfp: https://picrew.me/image_maker/1272810

Offline

Wooted by:

#5 2019-06-25 13:57:31

AllenCaspe9510
Member
From: Heart Locket
Joined: 2018-03-24
Posts: 901
Website

Re: Annoying Math Problems

Heres the Full question
4x^2 + 4x + 1 = 0

Thanks for the answer //forums.everybodyedits.com/img/smilies/big_smile


I Animate Stuff

ezgif.com-gif-maker.gif

Offline

#6 2019-06-25 14:09:39

Anatoly
Guest

Re: Annoying Math Problems

AllenCaspe9510 wrote:

Heres the Full question
4x^2 + 4x + 1 = 0

Thanks for the answer //forums.everybodyedits.com/img/smilies/big_smile

4x^2 + 4x + 1 = (2x)^2 + 2 * (2x) * (1) + (1) = (2x+1)^2

(2x+1)^2 = 0
(2x+1)^2^(1/2) = 0^(1/2)
|2x+1| = 0

Wooted by:

#7 2019-06-25 14:12:25, last edited by ZeldaXD (2019-06-25 14:12:54)

ZeldaXD
EE Homeboy
From: Cyprus
Joined: 2015-02-15
Posts: 1,539
Website

Re: Annoying Math Problems

AllenCaspe9510 wrote:

Heres the Full question
4x^2 + 4x + 1 = 0

Thanks for the answer //forums.everybodyedits.com/img/smilies/big_smile

You have to know the formula for quadratic equations
That is, for the equation
ax^2 + bx + c = 0
x = (-b +- sqrt(b^2 - 4ac))/2a

So in your equation
x = (-4 +- sqrt(16 - 4*4*1))/8
x = (-4 +- sqrt(0))/8
x = -4/8
x = -1/2


gLjTZE1.png

Offline

#8 2019-06-25 17:15:15, last edited by bunglybongle (2019-06-26 23:22:28)

bunglybongle
Guest

Re: Annoying Math Problems

what i was taught was:
5x - 4 = 2x + 8
take away the small x thing from the big x thing
3x - 4 = 8
then do stuff
3x = 8 + 4
then you divide the answer to the 8+3 by the number x thing
x = 12/3
tada you done fam
x = 4

#9 2019-06-25 20:24:52

peace
Member
From: admin land
Joined: 2015-08-10
Posts: 9,226

Re: Annoying Math Problems

AllenCaspe9510 wrote:

Heres the Full question
4x^2 + 4x + 1 = 0

Thanks for the answer //forums.everybodyedits.com/img/smilies/big_smile

i would use the metoh for 'guessing the answer'  guess an answer you think is right and fill it in the X's try until you found the answe is what works with an ^ sign otherwise lukems thing works in your first question whic is ez


peace.png

thanks hg for making this much better and ty for my avatar aswell

Offline

#10 2019-06-26 10:08:53

MWstudios
Member
From: World 4-2
Joined: 2018-04-06
Posts: 1,331

Re: Annoying Math Problems

AllenCaspe9510 wrote:

Heres the Full question
4x^2 + 4x + 1 = 0

Thanks for the answer //forums.everybodyedits.com/img/smilies/big_smile

This thing, how is it called
wSRGUj2.png
I know you use this for those questions


Time before becoming a Member - Leaderboard
1. Whirl - 9 months
2. KirbyKareem - 8 months
3. pwnzor - 2.4 months
4. MWstudios - 2 months
5. ILikeTofuuJoe - 1.5 months
giphy.gif Piskel is the best GIF maker I've seen
HG's signature for me - Anatoly's signature for me
The Mashed Potatoes Song - The longest post on EE forums - Play my Minesweeper

Offline

#11 2019-06-26 12:05:48, last edited by AllenCaspe9510 (2019-06-26 12:06:06)

AllenCaspe9510
Member
From: Heart Locket
Joined: 2018-03-24
Posts: 901
Website

Re: Annoying Math Problems

MWstudios wrote:
AllenCaspe9510 wrote:

Heres the Full question
4x^2 + 4x + 1 = 0

Thanks for the answer //forums.everybodyedits.com/img/smilies/big_smile

This thing, how is it called
https://imgur.com/wSRGUj2.png
I know you use this for those questions

Uhh... No, I might see it sometime


I Animate Stuff

ezgif.com-gif-maker.gif

Offline

#12 2019-06-26 14:53:39

Anatoly
Guest

Re: Annoying Math Problems

sxrrealism wrote:

what i was taught was:
5x - 4 = 2x + 8
take away the small x thing from the big x thing
3x - 4 = 8
then do stuff
3x = 8 + 4
then you divide the answer to the 8+3 by the number x thing
x = 12/4
tada you done fam
x = 3

Why 3? Why do you divide by 4? X = 12/3 -> x = 4

#13 2019-06-26 17:24:18, last edited by MWstudios (2019-06-26 17:24:43)

MWstudios
Member
From: World 4-2
Joined: 2018-04-06
Posts: 1,331

Re: Annoying Math Problems

AllenCaspe9510 wrote:
MWstudios wrote:
AllenCaspe9510 wrote:

Heres the Full question
4x^2 + 4x + 1 = 0

Thanks for the answer //forums.everybodyedits.com/img/smilies/big_smile

This thing, how is it called
https://imgur.com/wSRGUj2.png
I know you use this for those questions

Uhh... No, I might see it sometime

It works like this (or at least how I remember it):
3ZFKM9M.png


Time before becoming a Member - Leaderboard
1. Whirl - 9 months
2. KirbyKareem - 8 months
3. pwnzor - 2.4 months
4. MWstudios - 2 months
5. ILikeTofuuJoe - 1.5 months
giphy.gif Piskel is the best GIF maker I've seen
HG's signature for me - Anatoly's signature for me
The Mashed Potatoes Song - The longest post on EE forums - Play my Minesweeper

Offline

Wooted by:

#14 2019-06-26 17:54:59, last edited by Minimania (2019-06-26 17:56:02)

Minimania
Moderation Team
From: PbzvatFbba 13
Joined: 2015-02-22
Posts: 6,395

Re: Annoying Math Problems

4x^2 + 4x + 1 = 0

This thing is called a quadratic equation. Quadratic equations are base 2 (meaning the leading factor is to the power of two). They're written like this... ax^2 + bx + c = 0.

In order to solve these, there are a few methods, but the most reliable way to solve these is by using the quadratic formula... the thing MWStudios posted earlier...

wSRGUj2.png

In order to use the quadratic formula, just "plug in" the numbers from the original equation into where it belongs on the formula, and solve it.

ax^2 + bx + c = 0.

This is how they are written

4x^2 + 4x + 1 = 0

This is the equation you're solving... a=4, b=4, and c=1, so plug those numbers into the equation and solve.

3ZFKM9M.png


21cZxBv.png
Click the image to see my graphics suggestions, or here to play EE: Project M!

Offline

Wooted by:

#15 2019-06-26 18:18:18

LukeM
Member
From: England
Joined: 2016-06-03
Posts: 3,009
Website

Re: Annoying Math Problems

Just FYI the OP's question specifically said you had to solve it by factoring, so you can't just throw the formula at it and write down what you get, you need to try to get it to the form (ax + b)(cx + d) = 0, usually just by inspection, then you can say that either side must be 0, so x = -b/a or -d/c.

Offline

Wooted by:

#16 2019-06-26 23:22:42

bunglybongle
Guest

Re: Annoying Math Problems

Anatoly wrote:
sxrrealism wrote:

what i was taught was:
5x - 4 = 2x + 8
take away the small x thing from the big x thing
3x - 4 = 8
then do stuff
3x = 8 + 4
then you divide the answer to the 8+3 by the number x thing
x = 12/4
tada you done fam
x = 3

Why 3? Why do you divide by 4? X = 12/3 -> x = 4

ok sorry i did a dumb thing i made a typo

#17 2019-06-27 07:06:07

peace
Member
From: admin land
Joined: 2015-08-10
Posts: 9,226

Re: Annoying Math Problems

sxrrealism wrote:

what i was taught was:
5x - 4 = 2x + 8
take away the small x thing from the big x thing
3x - 4 = 8
then do stuff
3x = 8 + 4
then you divide the answer to the 8+3 by the number x thing
x = 12/3
tada you done fam
x = 4

what i was though was
5x-4=2x+8
3x-4=8
3x=12
12/3x=4
x=4
or
5x-4=2x+8
-4=-3x+8
-12=-3x
-12/-3x=4
x=4
basically get all the variables in this cases the X's on one side by adding/subtractign them evenly (check if positive or  negative numbers!) then get all looose nubmbers on otther side then its an easy division (or not) tehn you COULD checkyourself by putting you answer onthe X's and get 5x-4=2x+8      5*4-4=16 2*4+8=16 = even its just like a weightscale thaking blocks form 1KG for loose numbers and like other blocks or objects for the X take away even from bto sdies and tis still even (doesntwork when negative numbers but its still same ;p)


peace.png

thanks hg for making this much better and ty for my avatar aswell

Offline

#18 2019-06-27 13:57:17, last edited by AllenCaspe9510 (2019-06-27 14:06:11)

AllenCaspe9510
Member
From: Heart Locket
Joined: 2018-03-24
Posts: 901
Website

Re: Annoying Math Problems

How about solving Quadratic Equations by Completing the square for binomial and trinomial?
I was also confused about those

Three of this is quite annoying to understand
[] (h - 3/5)^2 = 1/2

[] s^2 + 3/4 s + 9/64

[] h^2 - 3/4 h + ___?

Edit:
   I'm not doing this for my assignment, I need a formula :/


I Animate Stuff

ezgif.com-gif-maker.gif

Offline

#19 2019-06-28 05:16:46, last edited by Slabdrill (2019-06-28 05:32:44)

Slabdrill
Formerly 12345678908642
From: canada
Joined: 2015-08-15
Posts: 3,402
Website

Re: Annoying Math Problems

ax^2 + bx + c
= a(x^2 + bx/a) + c
= a(x^2 + bx/a + (b/2a)^2) - b^2/4a + c
= a(x + (b/2a))^2 - b^2/4a + c

Which gives you a quadratic equation in vertex form (y=a(x-h)^2+k, where h = -b/2a, k = -b^2/4a+c)

notes:
a(b/2a)^2 = a(b^2/4a^2) = b^2/4a
x^2 + 2xy + y^2 = (x+y)^2 (where y = b/2a)
If you only care about your final answer (your math teacher is bad if this is the case), you only really need to know the last line in that equation.


This was a nice refresher. I haven't needed to do basic math like this for about 5 months.
If you need more help, I'd recommend Khan Academy.


suddenly random sig change

Offline

#20 2019-06-28 08:21:33

Gosha
Member
From: Russia
Joined: 2015-03-15
Posts: 6,211

Re: Annoying Math Problems

To help you visualize math use https://www.desmos.com/calculator

if you want to check your answer, plug in the formula and you'll get a visualized result
7910468d.png

Offline

Wooted by:

#21 2019-06-28 15:01:11

peace
Member
From: admin land
Joined: 2015-08-10
Posts: 9,226

Re: Annoying Math Problems

Gosha wrote:

To help you visualize math use https://www.desmos.com/calculator

if you want to check your answer, plug in the formula and you'll get a visualized result
https://gosha.eejesse.net/files/7910468d.png

nice calcultor


peace.png

thanks hg for making this much better and ty for my avatar aswell

Offline

#22 2019-06-29 09:01:39

MWstudios
Member
From: World 4-2
Joined: 2018-04-06
Posts: 1,331

Re: Annoying Math Problems

Gosha wrote:

To help you visualize math use https://www.desmos.com/calculator

if you want to check your answer, plug in the formula and you'll get a visualized result
https://gosha.eejesse.net/files/7910468d.png

Is that a Geogebra bootleg?


Time before becoming a Member - Leaderboard
1. Whirl - 9 months
2. KirbyKareem - 8 months
3. pwnzor - 2.4 months
4. MWstudios - 2 months
5. ILikeTofuuJoe - 1.5 months
giphy.gif Piskel is the best GIF maker I've seen
HG's signature for me - Anatoly's signature for me
The Mashed Potatoes Song - The longest post on EE forums - Play my Minesweeper

Offline

MWstudios1561795299753793

Board footer

Powered by FluxBB

[ Started around 1733501206.0085 - Generated in 0.140 seconds, 10 queries executed - Memory usage: 1.83 MiB (Peak: 2.11 MiB) ]