Answer: The smaller number is 3. The number 3 squared is 9, plus the other number 5 squared, which is 25. when you add them, you get 34
Step-by-step explanation: x = first number y = second number a. x+2 = y b. x^2 + y^2 = 34 Replace y from equation a into equation b: x^2 + (x+2)^2 = 34 Expand it x^2 + x^2 + 4x + 4 = 34 2*x^2 + 4x = 30 2x^2 + 4x - 30=0 solving x: x = -5 and x =3 , it says it is a positive number, then it is x is 3 and the second number, y = x + 2 y = 5 Lets test it! 3^2 + 5^ 2 = 9 + 25 = 34