The number of ordered pairs (x; y) where x, y ∈ N* such that x2y2 - 2(x + y) is perfect square is .......
The number of ordered pairs (x; y) where x, y ∈ N* such that x2y2 - 2(x + y) is perfect square is ..
The number of ordered pairs (x; y) where x, y ∈ N* such that x2y2 - 2(x + y) is perfect square is ..
Let x,y be the positive integers such that \(3x^2+x=4y^2+y\) . Prove that x-y is a perfect integer.
1. Determine all pairs of integer (x;y) such that \(2xy^2+x+y+1=x^2+2y^2+xy\)
2. Let a,b,c satisfies the conditions
\(\hept{\begin{cases}5\ge a\ge b\ge c\ge0\\a+b\le8\\a+b+c=10\end{cases}}\)
Prove that \(2a^2+b^2+c^2\le38\)
3. Let a nad b satis fy the conditions
\(\hept{\begin{cases}a^3-6a^2+15a=9\\b^3-3b^2+6b=-1\end{cases}}\)
Find the value of\(\left(a-b\right)^{2014}\) ?
4. Find the smallest positive integer n such that the number \(2^n+2^8+2^{11}\) is a perfect square.
Given x,y such that x^2-y^2=2. The value of expression A=2(x^6-y^6)-6(x^4+y^4)
The sum of all possible natural number n such that : n2+n+1589 is a perfect square is
Suppose \(x\)and\(y\)are 2 real numbers such that :
\(\hept{\begin{cases}x+y-xy=55\\x^2+y^2=325\end{cases}}\)
Find the value of \(\left|x^3-y^3\right|\).
(HOMC2017) How many pairs of positive interger (x,y) are ther those satisfy the identity 2^x-y^2=1? Các bạn trình bày bằng tiếng Anh giúp mình nhé!!!