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## Donate!

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

AllenCaspe9510
Member From: Philippines
Joined: 2018-03-24
Posts: 239
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

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

LukeM
Dev Team
From: England
Joined: 2016-06-03
Posts: 2,820
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 Offline

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

Anatoly
Member From: Germany, Bavaria, Munich
Joined: 2015-07-31
Posts: 6,245

### 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

Best regards, Graphics | Signatures
Anatoly.

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

2B55B5G TNG
Member From: Levitation Planet
Joined: 2016-08-27
Posts: 1,445

### Re: Annoying Math Problems

What that’s easy.

Signature by TundrumMaxhttps://forums.everybodyedits.com/viewt … 81#p757381 Offline

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

AllenCaspe9510
Member From: Philippines
Joined: 2018-03-24
Posts: 239
Website

### Re: Annoying Math Problems

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

Thanks for the answer Offline

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

Anatoly
Member From: Germany, Bavaria, Munich
Joined: 2015-07-31
Posts: 6,245

### Re: Annoying Math Problems

AllenCaspe9510 wrote:

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

Thanks for the answer 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

Best regards, Graphics | Signatures
Anatoly.

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

ZeldaXD
EE Homeboy Joined: 2015-02-15
Posts: 1,274
Website

### Re: Annoying Math Problems

AllenCaspe9510 wrote:

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

Thanks for the answer 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

Is EEU Out Yet? Offline

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

sxrrealism
Formerly Arizona0117 From: europe
Joined: 2018-06-08
Posts: 347

### 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

a

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

peace
Member From: admin land
Joined: 2015-08-10
Posts: 5,696

### Re: Annoying Math Problems

AllenCaspe9510 wrote:

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

Thanks for the answer 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  ty anatoly and nikko99 for a golden sig and blueclued for avatar and daneeko for pixelating my sign   Offline

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

MWstudios
Member From: World 4-2
Joined: 2018-04-06
Posts: 1,330

### Re: Annoying Math Problems

AllenCaspe9510 wrote:

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

Thanks for the answer This thing, how is it called 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 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

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

AllenCaspe9510
Member From: Philippines
Joined: 2018-03-24
Posts: 239
Website

### Re: Annoying Math Problems

MWstudios wrote:
AllenCaspe9510 wrote:

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

Thanks for the answer 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

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

Anatoly
Member From: Germany, Bavaria, Munich
Joined: 2015-07-31
Posts: 6,245

### 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

Best regards, Graphics | Signatures
Anatoly.

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## #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: 1,330

### Re: Annoying Math Problems

AllenCaspe9510 wrote:
MWstudios wrote:
AllenCaspe9510 wrote:

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

Thanks for the answer 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): 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 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

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

Crybaby
Formerly minimania From: Wilted
Joined: 2015-02-22
Posts: 4,260

### 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... 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. Offline

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

LukeM
Dev Team
From: England
Joined: 2016-06-03
Posts: 2,820
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.

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

sxrrealism
Formerly Arizona0117 From: europe
Joined: 2018-06-08
Posts: 347

### 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

a

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

peace
Member From: admin land
Joined: 2015-08-10
Posts: 5,696

### 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)  ty anatoly and nikko99 for a golden sig and blueclued for avatar and daneeko for pixelating my sign   Offline

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

AllenCaspe9510
Member From: Philippines
Joined: 2018-03-24
Posts: 239
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 :/

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## #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: 3,238
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

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

Gosha
Member From: Russia
Joined: 2015-03-15
Posts: 5,840

### 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 Offline

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

peace
Member From: admin land
Joined: 2015-08-10
Posts: 5,696

### 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  ty anatoly and nikko99 for a golden sig and blueclued for avatar and daneeko for pixelating my sign   Offline

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

MWstudios
Member From: World 4-2
Joined: 2018-04-06
Posts: 1,330

### 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 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

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MWstudios1561795299753793

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