eli123
the difference of two numbers is 1 and the sum of their squares is 41, find the numbers
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chaguanas
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You have to translate the words into math symbols.
eli123
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ok i know that x-x=1
eli123
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and the exponents have to give me 41
chaguanas
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For your first response, it would be better if you use a different variable for each number rather than x and x.
eli123
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x-y=1
chaguanas
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You are pretty good at this. You need to do the same thing for the second part.
eli123
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ok but
chaguanas
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Yah
eli123
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what would the answer be
tamtoan
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if your variables are x and y, how do you write the sum of their square ?
eli123
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aaahh i dont know
eli123
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(5,4)?
tamtoan
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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
eli123
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x^2-y^2=1
eli123
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2+2?
eli123
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no no
tamtoan
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the sum, not the difference ...and the sum of them is 41..do that again ?
eli123
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4 and 5
tamtoan
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where do you get 4 and 5 ?
eli123
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five minus four is 1 and 4^2+5^2 is 41
tamtoan
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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.