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eli
Lv 7
eli asked in Science & MathematicsMathematics · 8 years ago

Test 7 question 7 of 20, need help?

If x² + y² =1, and the average of x + y =4, what is x – y?

I don't even know where to start with this one , but I need to learn how to solve them so I'm hoping for an explanation.

Thank you

1 Answer

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  • ?
    Lv 6
    8 years ago
    Favorite Answer

    I will start from (x+y)^2 =x^2+y^2+2xy, then we got:

    16=1+2xy

    2xy=15

    Then, we use another equation, like:

    (x-y)^2=x^2-2xy+y^2

    x-y=sqrt(1-15)

    x-y=14i, where i=sqrt(-1)

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