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Mathematics

If x + y = 11 and xy = 24, then x2 + y2 is equal to

  1. 121

  2. 73

  3. 48

  4. 169

Expansions

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Answer

We know that,

x2 + y2 = (x + y)2 - 2xy.

Substituting values we get,

x2 + y2 = (11)2 - 2 × 24 = 121 - 48 = 73.

Hence, Option 2 is the correct option.

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