# The quadratic equation 2x² - 4x + 12 = 0 has

A. 2 distinct real roots

B. no real roots

C. 2 equal real roots

D. more than 2 real roots

Answer:

The nature of roots of the given equation can be given by,

D = b² - 4ac = 0,

In the given quadratic equation 2x² - 4x + 12 = 0, a = 2 b = -4 and c = 12

substituting the values in D = b² - 4ac we get,

D = (-4)² - (4)(2)(12) = 16 - 96 = -80

since D is negative

It has no real roots.

Hence, option B i.e. no real root is the correct option.

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