The set of all solutions of the inequation $x^2-2 x+5 \leq 0$ in $R$ is
The set of all solutions of the inequation $x^2-2 x+5 \leq 0$ in $R$ is
$R-(-\infty,-5)$
$R-(5,\infty)$
$\phi$
$R-(-\infty,-4)$
Solution
Given inequation is $x^2-2 x+5 \leq 0$.
$\therefore$ Roots are
$
x=\frac{+2 \pm \sqrt{4-20}}{2}=\frac{2 \pm 4 i}{2}
$
$\therefore$ Roots are imaginary, therefore no real solutions exist