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NECO Mathematics 2007 Objective — Question 19

Question 19 of 60 from the National Examinations Council (NECO) Mathematics 2007 Objective paper, with the correct answer and a full explanation.

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Find the quadratic equation whose roots are -5 and 3/2.

  • A. 2x^2-7x-15=0
  • B. 2x^2+7x-15=0Correct
  • C. 2x^2-10x-8=0

Explanation

Sum of roots = -5+3/2 = -7/2. Product = -5x3/2 = -15/2. x^2-(sum)x+product=0 gives x^2+7/2x-15/2=0; multiplying by 2: 2x^2+7x-15=0.

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