algebra

 If x² + y² = 74 and xy = 35, find the value of x and y.

Answer:

x² + y² + 2xy = (x + y)²

(x + y)² = 74 + 70 = 144

Or, (x + y) = 12 --------- (1) 

x² + y² - 2xy = (x - y)²

(x - y)² = 74 - 70 = 4

Or, (x – y) = 2 --------- (2)

Solving (1) and (2), we get

X = 7 and y = 5