Q. The set of all solutions of the inequation $x^{2} - 2x + 5 \leq 0$in $R$ is
A) $R - ( - \infty,\ - 5)$
B) $R - (5,\ \infty)$
C) $\varnothing$
D) $R - ( - \infty,\ - 4)$
Explanation
(c)
Given inequation is $x^{2} - 2x + 5 \leq 0$
$\therefore$ Roots are
$x = \frac{- 2 \pm \sqrt{4 - 20}}{2} = \frac{2 \pm 4i}{2}$
$\therefore$ Roots are imaginary, therefore no real solutions exist
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.