Question

find two numbers whose sum is 13 and the sum of whose square is 145

Answer 1

x+y=13
x^2+y^2=145

Answer 2

x = 13-y
(13-y)^2+y^2=145

Answer 3

solve the 2nd equation:
169-26y+y^2+y^2=145
2y^2 -26y + 169 - 145 = 0

Answer 4

2y^2 - 26y + 24 = 0
y^2 - 13y + 12 = 0

Answer 5

D = 169 - 48 = 121
y1 = (13 - 11)/2 = 1
y2 = (13+11)/2 = 12
So now you have two y values..

Answer 6

Find the two x values:

x1 = 13-y1 = 13-1 = 12
x2 = 13-y2 = 13 -12 = 1

Answer 7

So apparently the two numbers u need are 12 and 1..

Answer 8

very good bahrom

Answer 9

did you have the same answer??...myininaya??

Answer 10

yes his answers are glamorous

Answer 11

ok..

Answer 12

Heres another solution that uses the symmetry of the problem:

Answer 13

very nice joe

Answer 14

tnx!!