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If x+y=12 and xy =32,find the …

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If x+y=12 and xy =32,find the value of x2 +y2

    • Posted by Vaibhav Mittal 4 years, 5 months ago

    CBSE > Class 09 > Mathematics
    • 3 answers

    Rashi ?? 4 years, 5 months ago

    112

    0Thank You

    Yogita Ingle 4 years, 5 months ago

      x+y=12 ------(1)
    Squaring equation 1 on both sides
      (x+y)² = 12²-----(2)

    (a+b)²=a²+2ab+b²

    Now comparing (x+y)² with (a+b)² here a=x and b=y

    So Equation 2 becomes
      (x+y)² = 12²
      x²+2xy+y² =12²
      x²+y² = 144 - 2xy----(3)

    But in question its given that xy= 32

    So, substituting xy = 32 in equation 3

       x²+y² =144-2*32

      x²+y² =144-64 = 80.

     

    0Thank You

    Suraj Singh 4 years, 5 months ago

    24

    0Thank You

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