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Find the roots of the quadratic equation \(2x^2 + 5x - 12 = 0\).

1. 3/2, -4
2. 2/3, -4
3. 3/2, 4
4. 2/3, 4

Correct answer: 3/2, -4

Solution

Factorizing gives \(2x^2+5x-12=(2x-3)(x+4)\). Setting each factor to zero gives \(x=3/2\) and \(x=-4\).

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