Q. If $b^{2} \geq 4ac$ for the equation $ax^{4} + bx^{2} + c = 0$, then all the roots of the equation will be real positive of
A) $b > 0,\ a < 0,\ c > 0$
B) $b < 0,\ a > 0,\ c > 0$
C) $b > 0,\ a > 0,\ c > 0$
D) $b > 0,\ a > 0,\ c < 0$
Explanation
(b)
If $b^{2} - 4ac \geq 0$, then the equation $ax^{4} + bx^{2} + c = 0$ has all roots positive real, if $b < 0,\ a > 0,\ c > 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.