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If m is chosen in the quadratic equation (m 2 + 1) x 2 – 3x – (m 2 + 1) 2 = 0 such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :

1. 3 8
2. 3 4
3. 5 10
4. 5 8

Correct answer: 5 8

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