Algebramedium · Past Paper

The roots of 2x^2 - 6x + 3 = 0 are:

AReal, irrational, unequal
BReal, rational, unequal
CImaginary
DReal, rational, equal

✓ Correct Answer: AReal, irrational, unequal

D = (-6)^2 - 4(2)(3) = 36 - 24 = 12. Since D > 0 and not a perfect square, roots are real, irrational, and unequal.

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