Poll of the Day > How do you interpret this algebraic partitioning problem?

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jramirez23
08/04/18 8:24:15 PM
#1:


Make me two parts of 10 such that each part multiplied by itself, and the one multiplication taken from the other leaves 49. I ask what are the parts.

I ended up writing
x + y = 10
x^2 + xy + y^2 = 49.

That's not the right interpretation though. Apparently the correct approach is this:

x + y = 10
x^2 - y^2 = 49


Hint: "taken from the other" means subtraction somehow.

Does it make sense, or do you find these word problems to be tricky too?
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Kyuubi4269
08/04/18 8:27:46 PM
#2:


I think they want the numbers for x and y, not your working out.
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trodi_911
08/04/18 8:29:23 PM
#3:


Makes perfect sense to me.

jramirez23 posted...
Hint: "taken from the other" means subtraction somehow.

What else could it mean?
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faramir77
08/04/18 11:23:10 PM
#4:


I got the correct solution before checking. That's clear enough to me.
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SKARDAVNELNATE
08/05/18 12:49:47 AM
#5:


two parts of 10
9+1=10
8+2=10
7+3=10
6+4=10
5+5=10

each part multiplied by itself, and the one multiplication taken from the other leaves 49
81 - 1 = 80
64 - 4 = 60
49 - 9 = 40
36 - 16 = 20
25 - 25 = 0

Must not be whole numbers
7.45 + 2.55 = 10
55.5025 - 6.5025 = 49
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OS 12TR
08/05/18 12:59:55 AM
#6:


Why are you guessing and checking? You have two unknowns and two equations. System of equations.
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Yellow
08/05/18 1:02:53 AM
#7:


Literally difficult for the sake of being difficult.
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Keebs05
08/05/18 1:05:01 AM
#8:


When did math become a fucking riddle?

I'm so glad that I'm done with school.
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OS 12TR
08/05/18 1:05:34 AM
#9:


I still need to take diff eq and linear algebra.
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SKARDAVNELNATE
08/05/18 1:12:54 AM
#10:


OS 12TR posted...
Why are you guessing and checking? You have two unknowns and two equations. System of equations.

Because it was easier for me to set up a spread sheet in open office to solve it than it was for me to remember how to do math I haven't used in 15 years.
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EclairReturns
08/05/18 1:15:29 AM
#11:


OS 12TR posted...
diff eq and linear algebra


If you're talking about the hybrid class, then in my experience, that class is pretty easy as long as you read the book.
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Golden Road
08/05/18 1:26:16 AM
#12:


I interpreted that correctly, though yes, the problem is poorly worded for no good reason.
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Amuseum
08/05/18 4:18:09 AM
#13:


wording and correct solution seems fine to me.
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PMarth2002
08/05/18 2:18:29 PM
#14:


The wording makes no sense to me and I don't remember what algebraic partitioning is.
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TheWorstPoster
08/05/18 2:30:55 PM
#15:


I thought math was supposed to be about numbers. Not a stupid puzzle in an 80's point and click adventure game that will kill you anyway.
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EclairReturns
08/05/18 2:42:24 PM
#16:


TheWorstPoster posted...
math was supposed to be about numbers


You'll actually see fewer and fewer numbers as you start taking the senior division math classes. So no, math isn't always about the numbers.
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TheWorstPoster
08/05/18 3:13:04 PM
#17:


EclairReturns posted...
TheWorstPoster posted...
math was supposed to be about numbers


You'll actually see fewer and fewer numbers as you start taking the senior division math classes. So no, math isn't always about the numbers.

I get it now!

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