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If (2t - 3s)(t - s) = 0, find \(\frac{t}{s}\).

Further Mathematics
WAEC 2016

If (2t - 3s)(t - s) = 0, find \(\frac{t}{s}\).

  • A. \(\frac{3}{2}\) or \(1\)
  • B. \(\frac{3}{2}\) or \(-1\)
  • C. \(\frac{-3}{2}\) or \(-1\)
  • D. \(\frac{-3}{2}\) or \(1\)
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Correct Answer: Option A
Explanation

\((2t - 3s)(t - s) = 0 \implies (2t - 3s) = \text{0 or} (t - s) = 0\)

\(2t - 3s = 0 \implies 2t = 3s \therefore \frac{t}{s} = \frac{3}{2}\)

\(t - s = 0 \implies t = s  \therefore  \frac{t}{s} = 1\)

\(\frac{t}{s} = \frac{3}{2} or 1\) 


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