Find 3 consecutive even integers such that the square of the largest exceeds the sum of the quarters of the squares of the other two by 12

- anonymous

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- mathteacher1729

Wow, this is a complex statement. How do you feel with simpler problems of this nature?
"The sum of three consecutive integers is 12" for example.
or
"The sum of two consecutive odd numbers is 16"
There is quite a bit to break apart in this prob, that's why I ask.

- anonymous

I am lost on integers

- mathteacher1729

Oh, ok. Then any explanation of this problem will probably seem way too confusing. Let's start with the ones I wrote instead. Those are a bit simpler, and will help build up to this problem.

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## More answers

- mathteacher1729

An integer is a kind of number. It's a whole number which can be positive or negative. Also, zero is an integer.
... -3 , -2, -1, 0, 1, 2, 3, ... are all integers.

- mathteacher1729

Do you know what "consecutive" means?

- anonymous

yes in a row ie 12 13 14

- myininaya

x is the first even integer
x+2 is the next even integer
x+4 is the third even integer
(x+4)^2=1/4*(x^2+(x+2)^2)+12

- myininaya

x^2+8x+16=1/4*(x^2+x^2+4x+4)+12
x^2+8x+16=1/4*(2x^2+4x+4)+12
x^2+8x+16=x^2/2+x+1+12
x^2+8x+16=x^2/2+x+13
-x^2/2+7x+3=0
x^2-14x-6=0
this does not give us integer
so maybe i misread the question

- anonymous

To me it seems many of these questions are not well written which doesn't help

- myininaya

the question seems really confusing lol

- anonymous

lol tell me about it. They are ALL that way

- mathteacher1729

Myininaya -- what if we start with x = 1 :-p
You need to do 2n , 2n+2 , 2n+4.
Also, this is a complex problem. Is this a test or HW question?

- mathteacher1729

It drives me mad when profs put questions on the test which are WAY MORE DIFFICULT and NOTHING LIKE the HW problems they assign or the problems they go over in class.

- anonymous

yeah, thanks for help. Is homework

- myininaya

it doesn't matter what kindof question this is
this is an algebra class
lol this is ridiculous for an algebra class

- anonymous

THANK YOU!!! I agree

- myininaya

unless it is a bonus question

- mathteacher1729

Well in the proper context, it's not a ridiculous question. If this was a question at the end of the chapter on how to interpret word problems for an advanced algebra class, yeah it makes sense.
Is this a TYPICAL hw problem? Like, are all the others similar in complexity to it?

- anonymous

This is PRE algebra. They are all this way

- anonymous

and not a bonus question regular one

- myininaya

i haven't gave up yet
you wrote the question exactly as it appears in the book right?

- anonymous

yes

- myininaya

others or other?

- myininaya

nvm

- anonymous

I cant wait for this class to be over

- myininaya

i don't see how it isn't
(x+4)^2=1/4*x^2+1/4*(x+2)^2+12
x^2+8x+16=1/4*x^2+1/4*(x^2+4x+4)+12
x^2+8x+16=1/4*x^2+1/4*x^2+x+1+12
x^2+8x+16=1/2*x^2+x+13
1/2*x^2+7x+3=0
x^2+14x+6=0
but like i said before this does not give an integer for x
so i just don't get the question i guess
mathteacher will you please tell me what is wrong with this

- anonymous

I appreciate your help

- myininaya

i tried lol
i can't see this problem any other way
what i have above is what it means to me
maybe i'm making a mistake in the translation, but i don't see where or how
so sorry

- anonymous

No need to be sorry, I appreciate it.

- mathteacher1729

Ok, got something, but I think there might be an issue with the wording here. Lemmie know what you think.

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- myininaya

that is exactly how i set my up
exept we introduced are variables differently

- anonymous

makes more sense than what I got

- myininaya

hey that is 12 right not 15?

- anonymous

yes

- myininaya

ok i have discussed this problem with others and they also agree there are no such integers
i'm just shocked they would have given you a problem that you cannot find the solution to
so just say there are no such integers

- anonymous

ok thank you

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