Problema Solution

one number is equal to the square of another. Find the numbers if both are positive and their sum is 702

Answer provided by our tutors

let 'x' and 'y' be the positive numbers, x>0, y>0


one number is equal to the square of another


y = x^2


their sum is 702


x + y = 702


lets plug y = x^2 in the above equation


x + x^2 = 702


by solving the quadratic equation we find and consider the poistive roots


x = 26


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y = x^2 = 26^2 = 676


the numbers are 676 and 26.