pq + q = 13 + q2
<=> p = \(\frac{13+q^2-q}{q}\)
\(S=p\times q=\frac{13+q^2-q}{q}\times q=q^2-q+\frac{1}{4}+\frac{51}{4}=\left(q-\frac{1}{2}\right)^2+\frac{51}{4}\ge\frac{51}{4}\)
ĐS: 12,75
a rectangle has length p and breadth p where p,q are intergers . If p, q satisfy the equation pq+q=13+q^2. What is the maximun of the area of the rectangle?
1) The rectangle has length p and breath q (cm), where p and q are intergers. If p and q satisfy the equation pq+q=13 + q2
then the maxnium area of the rectangle
2) Let a,b and c be positive intergers such that ab + bc=518 and ab-ac=360. Find the largest value of the product abc.
P/s: As you may now, These are some questions from the 8 round of Math Violympic. Plz help me as much as you can! Thanks for all!
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