find the three consecutive integers such that the square of the largest exceeds the sum of the quarters of the squares of the other two by 12

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find the three consecutive integers such that the square of the largest exceeds the sum of the quarters of the squares of the other two by 12

Mathematics
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i don't get it i cannot get an integer x x+2 x+4 (x+4)^2=1/4*x^2+1/4*(x+2)^2+12 is what i did and got x^2+14x+6=0
i cannot get an integer from x^2+14x+6=0
Let x = first integer then x+1 = second integer and x+2 = third integer ((x+1)/4)^2 +(x^2)/4=(x+2)^2 + 12

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Problem does not say even or odd just consecutive
oops i mean even intgers sorry
find the first three consecutive even integers
O.K that does change things lol
ignore the first three lol i was trying to do this problem for someone else who asked it earlier but the above is the only way i could translate it
Let 2x = first even integer then 2x+2 = second and 2x+4 = third
no such integers exist
thats what i was thinking so why would they asked this question
either you typed the question out incorrectly or they didn't check their solutions thoroughly
well there is no way for me to know if the question is typed incorrectly or not i was trying to answer this same question earlier from someone else who posted it on openstudy i typed it exactly as he did
without the word even lol
ah, okay. it will suffice to say there's no solution
i just thought they wouldn't try to trick pre algebra peeps so i was like i had to be misunderstanding or the question was typed incorrectly thanks jamesm
My solution was not an integer. I can't work it!
thanks radar
I too, wonder why such a problem was assigned, sure doesn't reinforce confidence!
i think it is possible that the person did not write it correctly
Ah so.
but i did ask if he wrote it word from word and he said yes so maybe not idk
is it possible that they meant 15 and not 12? 15 yields integer solutions
hmm.. maybe he is still here i will ask about the 15

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