one number is equal to the square of another. find the numbers if both are positive and their sum is 1122

One number is 561

The other number is 23.6854

Step-by-step explanation:

x = y^2 One number = the square of another

x + y^2 = 1122 The sum of the two numbers is 1122

Substitute y^2 in for x on the second equation.

y^2 + y^2 = 1122 Combine like terms on the left

2y^2 = 1122 Divide by 2

y^2 = 1122/2

y^2 = 561 Take the square root of both sides.

y = 23.6854

x = y^2

x = 561

y^2 = 561