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Lê Quốc Trần Anh Coordinator

03/01/2018 at 17:02
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What is the sum of the integer values of x, where x < 8, that produce an integer value for the expression \(\sqrt{2+4+6+x}\)?




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  • ...
    07NK-6789 Coordinator 03/01/2018 at 19:15

    \(\sqrt{2+4+6+x}\) (Condition \(-12\le x< 8\)).

    \(\Leftrightarrow\sqrt{12+x}=n\left(n\in N\right)\)

    So x will satisfy \(x=\left\{-12;-11;-8;-3;4\right\}\)

    The sum of \(x=-12-11-8-3+4=-30\)

    Answer : - 30.

    Lê Quốc Trần Anh selected this answer.
  • ...
    FA Liên Quân Garena 08/01/2018 at 21:48

    √2+4+6+x (Condition −12≤x<8

    ).

    ⇔√12+x=n(n∈N)

    So x will satisfy x={−12;−11;−8;−3;4}

    The sum of x=−12−11−8−3+4=−30

    Answer : - 30.

  • ...
    Asuna Yuuki 04/01/2018 at 15:52

    √2+4+6+x2+4+6+x (Condition −12≤x<8−12≤x<8).

    ⇔√12+x=n(n∈N)⇔12+x=n(n∈N)

    So x will satisfy x={−12;−11;−8;−3;4}x={−12;−11;−8;−3;4}

    The sum of x=−12−11−8−3+4=−30x=−12−11−8−3+4=−30

    Answer : - 30.


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