Question 142
Compute the unique real number $x\lt 3$ such that
$$
\sqrt{(3-x)(4-x)}+\sqrt{(4-x)(6-x)}+\sqrt{(6-x)(3-x)}=x
$$
$$
\sqrt{(3-x)(4-x)}+\sqrt{(4-x)(6-x)}+\sqrt{(6-x)(3-x)}=x
$$
MathNet 2024-part-06 — 165 problems (EN–VI) Question 142
Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)