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Solve the equation 2a\(^2\) - 3a - 27 = 0

Solve the equation 2a\(^2\) - 3a - 27 = 0
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  • A 3/2, 9
  • B -2/3, 9
  • C 3, 9/2
  • D -3, -9/2
  • E -3, 9/2
Correct Answer: Option E
Explanation:
2a\(^2\) - 3a - 27 = 0
2a\(^2\) - 9a + 6a - 27 = 0
a(2a - 9) + 3(2a - 9) = 0
(a + 3)(2a - 9) = 0
a = -3 or a = \(\frac{9}{2}\)

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