GATE | GATE-CS-2014-(Set-1) | Question 5

The roots of ax² + bx + c are real and positive. a, b and c are real. Then ax² + b|x| + c
has
(A) no roots
(B) 2 real roots
(C) 3 real roots
(D) 4 real roots

Answer: (D)
Explanation: The second equation has both +vs and -ve values of roots of first equation as root.
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