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7 December, 21:19

The sum of two positive numbers is 4 and the sum of their squares is 28. what are the two numbers

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  1. 7 December, 21:43
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    Depends on what way you learnt it

    Step-by-step explanation:

    x + y = 4. x^2 + y^2 = 28. These are the given equations.

    Square the first equation to get x^2 + 2xy + y^2 = 16.

    Subtract the new equation from x^2 + y^2 = 28 to get 2xy = - 12.

    Divide by 2 to get xy = - 6. The questions asks for positive numbers, and a positive times a positive is not a negative, therefore there are no two numbers.
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