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The set of all solutions of the inequation $x^2-2 x+5 \leq 0$ in $R$ is
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Verified Answer
The correct answer is:
$\phi$
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.
$\therefore$ 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.
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