Question

if x√y + y√x= 330 and x√y - y√x=30 the find x + y

Answer 1

Answer:

61

Step-by-step explanation:

x√y + y√x = 330. (1)

x√y - y√x = 30

add these two equations

2*x√y = 360

x√y = 180

square these two sides

y = 32400/x²

use this value of y in equation (1)

x*√(32400/x²) + 32400√x/x² = 330

x*180/x + 32400/(x^3/2) = 330

32400/(330-180) = x^3/2

x^3/2 = 216

x = 36

y = 32400/36² = 25

x+y = 36 + 25 = 61