Multiple choice

If a, b are roots of x2 + 7x + 12 = 0, find the equation whose roots are (a + b)2 and (a - b)2.

  1. x2 - 50x + 49 = 0

  2. x2 - 50x - 49 = 0

  3. x2 + 50x + 49 = 0

  4. x2 + 50x - 49 = 0

  5. None of these
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A Correct answer
Explanation

Sum of roots = (a + b)2 + (a - b)2 = 2(a2 + b2) = 2[(a + b)2 - 2ab] = 2(49 - 24) = 50. Product = (a + b)2(a - b)2 = 49(49 - 48) = 49

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