If α and β are the roots of 3x\(^2\) - 7x + 6 = 0,
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. \(\frac{14}{3}\)
Correct Answer: A. \(\frac{7}{6}\)
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
= \(\frac{7}{6}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *