Subject

    গাণিতিক যুক্তি

    Topic

    সমাধান

    x²+ y²= 185, x-y= 3 এর একটি সমাধান হলঃ

    ক)
    (7,4)
    খ)
    (9,6)
    গ)
    (2/7)
    ঘ)
    (11,8)

    Explanation

    x-y =3 => x = 3 + y now, (3+y)² + y² = 185 => 9 + 6y + y² + y² = 185 => 2y² + 6y - 176 = 0 => y² + 3y - 88 = 0 => y² + 11y - 8y - 88 = 0 => y(y +11) - 8(y + 11) = 0 => (y + 11)(y - 8) = 0 so, y = -11 or y = 8 if y = 8, which matches one of the answers of the given options, x - 8 = 3 => x = 3+8 = 11 thus, (11,8)

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