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For  ,   R suppose the system of linear equations x – y + z = 5 2 x + 2 y +  z = 8 3 x – y + 4 z =  Has infinitely many solutions. Then  and  are the roots of

  1. x 2 + 14 x + 24 = 0
  2. x 2 – 18 x + 56 = 0
  3. x 2 – 10 x + 16 = 0
  4. x 2 + 18 x + 56 = 0

Correct answer: x 2 – 18 x + 56 = 0

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