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#76 2011-06-17 12:07:22

SpriteMaster
Scratcher
Registered: 2009-01-25
Posts: 1000+

Re: Official Algebra Topic

x - 1 = -1
   +1   +1
x = 0.


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#77 2011-06-17 12:10:38

meew0
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Registered: 2010-02-22
Posts: 1000+

Re: Official Algebra Topic

x-1 = b+1
x*2 = b*-2
What is x and what is b?


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#78 2011-06-17 13:21:28

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

Re: Official Algebra Topic

throughthefire wrote:

3x^2 + 6x + 6 = 0
no solution!

There actually is a real solution, but it's irrational so you can't find it out by factoring. To know if you can factor a quadratic trinomial easily, use the discriminant test: b² - 4ac where the constants abc are present in ax² + bx + c. Note that it's the part of the quadratic formula that's under the square root  smile

Anyway, the answer to the equation is

S = { (-2 +/- 2root2) / 2 }

if you can read that  tongue  and if it's wrong, I'm sorry. I didn't even do it properly.

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#79 2011-06-17 13:26:12

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

Re: Official Algebra Topic

meew0 wrote:

x-1 = b+1
x*2 = b*-2
What is x and what is b?

I'll be happy to solve it, just to keep me busy (school exams are over, I have nothing to do).
Note that I did it on paper and then transferred the working to here, so it's a bit messy. Oh, and I did it my way. I know it's pretty long but it's easy.

Code:

x - 1 = b + 1
x = b + 2

2x = -2b
x = -b

Join the two and get rid of x for now

b + 2 = -b
2b = -2
b = -1

Plug b back into the original

x - 1 = (-1) + 1
x = 1

S = {x = 1, b = -1}

Check it

1 - 1 = -1 + 1
0 = 0
yay!

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#80 2011-06-17 13:31:20

meew0
Scratcher
Registered: 2010-02-22
Posts: 1000+

Re: Official Algebra Topic

LS97 wrote:

meew0 wrote:

x-1 = b+1
x*2 = b*-2
What is x and what is b?

I'll be happy to solve it, just to keep me busy (school exams are over, I have nothing to do).
Note that I did it on paper and then transferred the working to here, so it's a bit messy. Oh, and I did it my way. I know it's pretty long but it's easy.

Code:

x - 1 = b + 1
x = b + 2

2x = -2b
x = -b

Join the two and get rid of x for now

b + 2 = -b
2b = -2
b = -1

Plug b back into the original

x - 1 = (-1) + 1
x = 1

S = {x = 1, b = -1}

Check it

1 - 1 = -1 + 1
0 = 0
yay!

Right!  big_smile


http://i.imgur.com/mJV3j.pnghttp://i.imgur.com/HwWAX.pnghttp://i.imgur.com/sZ7Ui.pnghttp://i.imgur.com/0y6yh.pnghttp://i.imgur.com/nOC4l.png

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#81 2011-06-17 13:31:57

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

Re: Official Algebra Topic

Here's a (relatively) hard question for you:

solve x³ + 6x² - x = -6 (2x + 1), given that one of the factors of x³ + 6x² + 11x + 6 is (x+ 1).

Oh, and do remember it's cubic, there's 3 solutions.

Last edited by LS97 (2011-06-17 13:32:34)

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#82 2011-06-17 14:31:31

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

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#83 2011-06-17 14:32:45

TheSuccessor
Scratcher
Registered: 2010-04-23
Posts: 1000+

Re: Official Algebra Topic

LS97 wrote:

^^ anyone?

Me, but I'm not allowed to answer.  tongue


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#84 2011-06-17 14:34:29

meew0
Scratcher
Registered: 2010-02-22
Posts: 1000+

Re: Official Algebra Topic

-6.309
At least MSM says that.


http://i.imgur.com/mJV3j.pnghttp://i.imgur.com/HwWAX.pnghttp://i.imgur.com/sZ7Ui.pnghttp://i.imgur.com/0y6yh.pnghttp://i.imgur.com/nOC4l.png

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#85 2011-06-17 14:39:07

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

Re: Official Algebra Topic

meew0 wrote:

-6.309
At least MSM says that.

lol  To which one? If it's to mine, no way.

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#86 2011-06-17 14:40:40

AtomicBawm3
Scratcher
Registered: 2009-06-27
Posts: 1000+

Re: Official Algebra Topic

LS97 wrote:

throughthefire wrote:

3x^2 + 6x + 6 = 0
no solution!

There actually is a real solution, but it's irrational so you can't find it out by factoring. To know if you can factor a quadratic trinomial easily, use the discriminant test: b² - 4ac where the constants abc are present in ax² + bx + c. Note that it's the part of the quadratic formula that's under the square root  smile

Anyway, the answer to the equation is

S = { (-2 +/- 2root2) / 2 }

if you can read that  tongue  and if it's wrong, I'm sorry. I didn't even do it properly.

Actually, it's not technically a real solution, it's an imaginary solution.  That is, it contains the square root of a negative number (in this case, it comes out as sqrt(-4) or 2sqrt(-1) which is 2i)

@LS97:  I can do it, but I'll need to get some paper and I really don't feel like doing that.


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#87 2011-06-17 14:41:14

meew0
Scratcher
Registered: 2010-02-22
Posts: 1000+

Re: Official Algebra Topic

LS97 wrote:

meew0 wrote:

-6.309
At least MSM says that.

lol  To which one? If it's to mine, no way.

To yours...
As I said, I didn't solve it, Microsoft Mathematics solved it...


http://i.imgur.com/mJV3j.pnghttp://i.imgur.com/HwWAX.pnghttp://i.imgur.com/sZ7Ui.pnghttp://i.imgur.com/0y6yh.pnghttp://i.imgur.com/nOC4l.png

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#88 2011-06-17 14:49:39

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

Re: Official Algebra Topic

meew0 wrote:

LS97 wrote:

meew0 wrote:

-6.309
At least MSM says that.

lol  To which one? If it's to mine, no way.

To yours...
As I said, I didn't solve it, Microsoft Mathematics solved it...

Yeah -- Really weird. I've had good experiences with MSM until now...
EDIT: I put the equation in and it did solve it well. Try again. But don't post the answer if you didn't work it out by hand!

Last edited by LS97 (2011-06-17 14:53:15)

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#89 2011-06-17 14:56:30

Harakou
Community Moderator
Registered: 2009-10-11
Posts: 1000+

Re: Official Algebra Topic

LS97 wrote:

throughthefire wrote:

3x^2 + 6x + 6 = 0
no solution!

There actually is a real solution, but it's irrational so you can't find it out by factoring. To know if you can factor a quadratic trinomial easily, use the discriminant test: b² - 4ac where the constants abc are present in ax² + bx + c. Note that it's the part of the quadratic formula that's under the square root  smile

Anyway, the answer to the equation is

S = { (-2 +/- 2root2) / 2 }

if you can read that  tongue  and if it's wrong, I'm sorry. I didn't even do it properly.

I got { +/- i + 1}. How did you get that? The answer should have been a complex number. (Part imaginary and part real.)


http://www.blocks.scratchr.org/API.php?action=random&return=image&link1=http://i.imgur.com/OZn2RD3.png&link2=http://i.imgur.com/duzaGTB.png&link3=http://i.imgur.com/CrDGvvZ.png&link4=http://i.imgur.com/POEpQyZ.png&link5=http://i.imgur.com/ZKJF8ac.png

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#90 2011-06-17 14:59:07

meew0
Scratcher
Registered: 2010-02-22
Posts: 1000+

Re: Official Algebra Topic

LS97 wrote:

meew0 wrote:

LS97 wrote:


lol  To which one? If it's to mine, no way.

To yours...
As I said, I didn't solve it, Microsoft Mathematics solved it...

Yeah -- Really weird. I've had good experiences with MSM until now...
EDIT: I put the equation in and it did solve it well. Try again. But don't post the answer if you didn't work it out by hand!

I tried it again and it gave me the same result...


http://i.imgur.com/mJV3j.pnghttp://i.imgur.com/HwWAX.pnghttp://i.imgur.com/sZ7Ui.pnghttp://i.imgur.com/0y6yh.pnghttp://i.imgur.com/nOC4l.png

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#91 2011-06-17 15:00:31

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

Re: Official Algebra Topic

OK, let me write it down and work it out properly  tongue

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#92 2011-06-17 15:06:22

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

Re: Official Algebra Topic

Oh, so sorry, I somehow imagined a 4 in that original equation. You see:

x = -b +/- √b²-4ac all over 2a

i thought b in the b² was 4...

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#93 2011-06-17 16:34:45

LS97
Scratcher
Registered: 2009-06-14
Posts: 1000+

Re: Official Algebra Topic

meew0 wrote:

LS97 wrote:

meew0 wrote:


To yours...
As I said, I didn't solve it, Microsoft Mathematics solved it...

Yeah -- Really weird. I've had good experiences with MSM until now...
EDIT: I put the equation in and it did solve it well. Try again. But don't post the answer if you didn't work it out by hand!

I tried it again and it gave me the same result...

Remember there's 3 answers to it -- can't be 6000 whatever!

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#94 2011-06-17 16:54:14

coppearlix
Scratcher
Registered: 2010-01-31
Posts: 500+

Re: Official Algebra Topic

Okay, I know this sounds weird, but for LS97's question I got -11 and -1


The Gobo has transformed--into the Gobony!
It's ALIIIIVE!

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#95 2011-06-17 16:59:37

coppearlix
Scratcher
Registered: 2010-01-31
Posts: 500+

Re: Official Algebra Topic

Oh heckle! No no no! Never mind!


The Gobo has transformed--into the Gobony!
It's ALIIIIVE!

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#96 2011-06-17 17:10:47

coppearlix
Scratcher
Registered: 2010-01-31
Posts: 500+

Re: Official Algebra Topic

Ugh... I never learned how to solve that kind of problem... I admit defeat.


The Gobo has transformed--into the Gobony!
It's ALIIIIVE!

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#97 2011-06-17 20:36:50

JJROCKER
Scratcher
Registered: 2010-09-06
Posts: 1000+

Re: Official Algebra Topic

Ok, I missed a ton. I will try to get caught back up on whats happening


http://www.blocks.scratchr.org/API.php?action=random&return=image&link1=http://img255.imageshack.us/img255/3491/signature1y.jpg&link2=http://img577.imageshack.us/img577/5272/signature1sx.jpg&link3=http://img4.imageshack.us/img4/8514/signature1et.jpg&link4=http://i.imgur.com/POEpQyZ.png&link5=http://img163.imageshack.us/img163/4640/jjrockerfinal.jpg

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#98 2011-06-17 21:29:54

16Skittles
Scratcher
Registered: 2009-08-26
Posts: 1000+

Re: Official Algebra Topic

@skyline: sorry, but you missed a ton... A factorial (9!) is multiplied, not added
A square is a number times itself, not times 2. look at my answers (above yours)


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#99 2011-06-17 21:42:34

wulfmaster
Scratcher
Registered: 2011-04-23
Posts: 500+

Re: Official Algebra Topic

16Skittles wrote:

@skyline: sorry, but you missed a ton... A factorial (9!) is multiplied, not added
A square is a number times itself, not times 2. look at my answers (above yours)

Why do you have ssss' name in your signature?


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#100 2011-06-17 21:44:04

16Skittles
Scratcher
Registered: 2009-08-26
Posts: 1000+

Re: Official Algebra Topic

wulfmaster wrote:

16Skittles wrote:

@skyline: sorry, but you missed a ton... A factorial (9!) is multiplied, not added
A square is a number times itself, not times 2. look at my answers (above yours)

Why do you have ssss' name in your signature?

you don't play minecraft do you...


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