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Post-UTME Mathematics 2013 Objective — Question 61

Question 61 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

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If α and β are the roots of the equation 2x²-5x+6=0, find α²+β²

  • A. 4
  • B. 3
  • C. -5/2
  • D. ¼Correct

Explanation

α+β=5/2, αβ=3. α²+β²=(α+β)²-2αβ=25/4-6=1/4.

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