Let a, b and c be positive integers. The sum of 160 and the square of a is equal the sum of 5 and the square of b. The sum of 320 and the square of a is equal to the sum of 5 and the square of c, a is

Each of the integers from 1 to 16 inclusive is put in a different square of a 4 by 4 table. For any two squares sharing a common side, the sum of the numbers in them is recorded. What is the maximum value of the smallest one among the recorded numbers?

1.Find the greatest negative integer value for n so that:

n⁴ - 25n² - 70n - 49 

2.Toán tiếng anh: If the length of a leg of a right angle is 11 and the lengths of the other two side are both positive integers, then the perimeter of a triangle is.............

find the smallest positive integer k for which \(\sqrt{6075\cdot k}\) is a whole number

Answer : the smallest positive integer k is ......

2. find the value of k such that the remainder is the greatest

k/13= 11Rx

K=

1 How many triples of integers (a,b,c) are there such that
?

2

Toán tiếng anh: If the length of a leg of a right angle is 11 and the lengths of the other two side are both positive integers, then the perimeter of a triangle is.............

let m and n bel positive integers such that the fraction m/n is irreducible and the fraction 4m+3n/5m+2n is not irreducible. Find the greatest common divisor of 4m+3n and 5m+2n 

The sum of 2018 and a 3-digit number is a square number. Find the smallest possible value of the 3- digit numbers

Let x,y be the positive integers such that \(3x^2+x=4y^2+y\) . Prove that x-y is a perfect integer.