Subject

    গাণিতিক যুক্তি

    Topic

    অন্যান্য

    x+y=17, xy=60, (x-y)=?

    ক)
    7
    খ)
    9
    গ)
    8
    ঘ)
    10

    Explanation

    (x−y)2=(x+y)2−4xy=>(x−y)2=172−4×60=>(x−y)2=289−240=>(x−y)2=49(x−y)=7\begin{array}{l} {(x - y)^2} = {(x + y)^2} - 4xy\\ = > {(x - y)^2} = {17^2} - 4 \times 60\\ = > {(x - y)^2} = 289 - 240\\ = > {(x - y)^2} = 49\\ (x - y) = 7 \end{array}

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