If the roots of the quadratic equation 2x2 – 4x + a = 0 are real and unequal, then which one of the following is correct?
Explanation:
The given equation is 2x2 – 4x + a = 0
We have, a = 2, b = -4, c = a
For roots of a quadratic equation to be real and unequal D = b2 – 4ac > 0
⇒ 16 – 8a > 0
⇒ a < 2
Hence, option (b).
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