Find the roots of the equations: \(3m^2 - 2m - 65 = 0\)
MATHEMATICS
WAEC 2023
Find the roots of the equations: \(3m^2 - 2m - 65 = 0\)
- A. \(( -5, \frac{-13}{3})\)
- B. \(( 5, \frac{-13}{3})\)
- C. \(( 5, \frac{13}{3})\)
- D. \(( -5, \frac{13}{3})\)
Correct Answer: B. \(( 5, \frac{-13}{3})\)
Explanation
Find the roots of the equations: \(3m^2 - 2m - 65 = 0\)
= \( m^2 - 15m + 13m - 65 = 0\)
= 3m(m - 5) + 13( m - 5) = 0
( m - 5)(3m + 13) = 0
m-5 = 0 or 3m + 13 = 0
therefore, m = 5 or \(\frac{-13}{3}\)
therefore the roots of the quadratic equation = ( 5, \(\frac{-13}{3})\)
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