Find the roots of the equation 2x2 - 9x

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Find the roots of the equation 2x² - 9x - 18 = 0.

1. 3/2 and 6
2. -3/2 and - 6
3. -3/2 and 6
4. 3/2 and -6
5. None of the above

Correct Option: C

Given equation is 2x² - 9x - 18 = 0
[by factorisation method]
⇒ 2x² - 12x + 3x - 18 = 0
⇒ 2x(x - 6) + 3(x - 6) = 0
⇒ (2x + 3) (x - 6) = 0
∴ x = -3/2, 6