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If α and β are the roots of the equation 3x\(^2\) + 5x - 2...

Mathematics
JAMB 2000

If α and β are the roots of the equation 3x\(^2\) + 5x - 2 = 0, find the value of 1/α + 1/β

  • A. -5/3
  • B. -2/3
  • C. 1/2
  • D. 5/2
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Correct Answer: Option D
Explanation

1/α + 1/β = β+α/αβ
3x\(^2\) + 5x - 2 = 0
x\(^2\) + 5x/3 - 2/3 = 0
αβ = -2/3
β+α = -5/3

Thus; β+α/αβ = -5/3 ÷  -2/3 = 5/2


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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
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
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