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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. \(( -5, \frac{13}{3})\)
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Correct Answer: Option B
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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