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If α and β are the roots of 3x\(^2\) - 7x + 6 = 0, find \(\frac{1}{α}\)...

Further Mathematics
WAEC 2021

If α and β are the roots of 3x\(^2\) - 7x + 6 = 0, find \(\frac{1}{α}\) + \(\frac{1}{β}\)

  • A. \(\frac{7}{6}\)
  • B. \(\frac{7}{3}\)
  • C. \(\frac{14}{5}\)
  • D. \(\frac{14}{3}\)
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Correct Answer: Option A
Explanation

3x\(^2\) - 7x + 6 = 0

α + β = \(\frac{7}{3}\);

αβ = 2;

\(\frac{1}{α}\) + \(\frac{1}{β}\) = \(\frac{α +β}{αβ}\) 

\(\frac{7}{3}\) ÷ 2 

= \(\frac{7}{6}\)

 


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group