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

Guest Mar 7, 2020

#1**+1 **

x+y = 4 can only be 1 3 or 2 2 which would not satisfy the next equation

x^2 + y^2 = 28 Are you sure they are both positive?

ElectricPavlov Mar 7, 2020

#2**+1 **

So sum of two positive numbers is 4, and sum of their squares is 28.

Only possible numbers are 1 and 3, and 2 and 2. 0, 4 wouldn't work because square of 0 is 0.

1 + 3 = 4

1^2 = 1

3^2 = 9

1+9 = 10.

(1,3) doesn't work.

2 + 2 = 4.

2^2 = 4

2^2 = 4

4+4 = 8.

(2,2) doesn't work.

Nothing positive works... so unless they're negative, the problem has no answer.

AnimalMaster Mar 7, 2020