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Find the quadratic equation whose roots are -\(\frac{1}{2}\) and 3

Mathematics
WAEC 2009

Find the quadratic equation whose roots are -\(\frac{1}{2}\) and 3

  • A. 2x2 - 2x + 3 = 0
  • B. 2x2 - 2x - 3 = 0
  • C. 2x2 - 5x - 3 = 0
  • D. 3x2 - 5x - 3 = 0
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Correct Answer: Option C
Explanation

x = \(\frac{-1}{2}\)

x = 3

2x = -1, x = 3; 2x + 1 = 0

x - 3 = 0

(2x + 1)(x - 3) = 0

2x2 - 6x + x - 3 = 0

2x2 - 5x - 3 = 0

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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709