Q. The quadratic equation $x^{2} + 15|x| + 14 = 0$ has
A) Only positive solutions
B) Only negative solutions
C) No solution
D) Both positive and negative solution
Explanation
(c)
$\because\ \ x^{2} + 15|x| + 14$
$= \left| x^{2} \right| + 15|x| + 14 > 0$
For all real $x$
$\Rightarrow$ Given equation has no solution
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.