math
posted by Jack on .
The sum of two numbers is 10.The sum of their squares is 52.Find the numbers.

one number  x
the other  10x
x^2 + (10x)^2 = 52
x^2 + 100  20x + x^2 = 52
2x^2  20x + 48 = 0
x^2  10x + 24 = 0
(x6)(x4) = 0
x = 6 or x=4
if one is 6, the other is 4
if one is 4 the other is 6
(symmetrical answers)
the two numbers are 6 and 4
check: 6+4 = 10
36+16 = 52
all is good!