Real numbers x and y have a difference of 16 and a product of 23. Find x^2+y^2.

Answer 1

larger --- x
smaller --- y
x-y = 16
xy = 23

x^2 + y^2 = (x - y)^2 + 2xy
= 16^2 + 46 = 302

Answer 2

reiny is correct

Answer 3

x^2+y^2=(x-y)^2+2xy=16^2+2*23=256+46=302