Question

If 200 is added to a positive integer I, the result is a square number. If 276 is added to the same integer I, another square number is obtained. Find I

Answer 1

Answer:

(-1 +or- square root of 801)/2

Step-by-step explanation:

The integer is l, hence, the equation we get is

l+200=l^2

l^2-l-200=0

solving this quadratic equation, we get the roots to be either (-1 +or- square root of 801)/2, which is not an integer. we don't really need the other relation that l+276 is a square number.