Question

solucion. 1. The sum of two numbers is 16, and the sum of their squares is 146. Find the two number.​

Answer 1

Answer:

11 or 5

Step-by-step explanation:

x+y = 16

x²+y² = 146

(x+y)² = (16)²

x²+y² + 2xy = 256

146 + 2xy = 256

therefore, xy = 55

x = 55/y

x+y = 16

55/y + y = 16

y² -16y +55 =0

(y-11)(y-5)

therefore, y = 11 or y=5

if y=11

then x=5

if y=5

then x=11