the difference of two numbers is 1 and the sum of their squares is 41, find the numbers
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OpenStudy (anonymous):
You have to translate the words into math symbols.
OpenStudy (anonymous):
ok i know that x-x=1
OpenStudy (anonymous):
and the exponents have to give me 41
OpenStudy (anonymous):
For your first response, it would be better if you use a different variable for each number rather than x and x.
OpenStudy (anonymous):
x-y=1
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OpenStudy (anonymous):
You are pretty good at this. You need to do the same thing for the second part.
OpenStudy (anonymous):
ok but
OpenStudy (anonymous):
Yah
OpenStudy (anonymous):
what would the answer be
OpenStudy (tamtoan):
if your variables are x and y, how do you write the sum of their square ?
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OpenStudy (anonymous):
aaahh i dont know
OpenStudy (anonymous):
(5,4)?
OpenStudy (tamtoan):
if the variable is x, the square of that variable is \[x^{2}\]
likewise with the other variable ...and the sum of both is ? ...try to write that expression
OpenStudy (anonymous):
x^2-y^2=1
OpenStudy (anonymous):
2+2?
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OpenStudy (anonymous):
no no
OpenStudy (tamtoan):
the sum, not the difference ...and the sum of them is 41..do that again ?
OpenStudy (anonymous):
4 and 5
OpenStudy (tamtoan):
where do you get 4 and 5 ?
OpenStudy (anonymous):
five minus four is 1 and 4^2+5^2 is 41
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OpenStudy (tamtoan):
that's guessing, you guess right, but it's not the way to solve :)
you have to write a system of 2 equations and try to solve it.