Let a, b and c be real numbers such that...

Let a, b and c be real numbers such that `4a + 2b + c = 0` and `ab gt 0.` Then the equation `ax^(2) + bx + c = 0` has

A

complex roots

B

exactly one root

C

real roots

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

3

Clearly, x = 2 is a root of the equation and imaginary roots always occur in pairs. Therefore, the other root is also real.

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