Q. 23

# The roots of the equation 2x2 - 6x + 3 = 0 areA. real, unequal and rationalB. real, unequal and irrationalC. real and equalD. imaginary

For the given equation 2x2 - 6x + 3 = 0

a = 2 b = - 6 c = 3

D = b2 - 4ac

= ( - 6)2 - 4.2.3

= 36 - 24 = 12 > 0 this is not a perfect square hence the roots of the equation are real, unequal and irrational

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