The sum of two positive numbers is 4 and the sum of their squares is 28. what are the two numbers

Depends on what way you learnt it

Step-by-step explanation:

x + y = 4. x^2 + y^2 = 28. These are the given equations.

Square the first equation to get x^2 + 2xy + y^2 = 16.

Subtract the new equation from x^2 + y^2 = 28 to get 2xy = - 12.

Divide by 2 to get xy = - 6. The questions asks for positive numbers, and a positive times a positive is not a negative, therefore there are no two numbers.