Question 32
Find all real numbers $x$ for which the value of the expression
$$
\sqrt{1-x^{2}}+\sqrt{5x-x^{2}}
$$
is an integer.
$$
\sqrt{1-x^{2}}+\sqrt{5x-x^{2}}
$$
is an integer.
MathNet 2008-part-04 — 165 problems (EN–VI) Question 32
Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)