Question

if x_ y = 9 and xy =11 ,find the value of (x+y)²
​

Answer 1

Given

x - y = 9

xy = 11

(x- y)² = x² + y² - 2xy

9² = x² + y² - 2 × 11

81 = x² + y² - 22

x² + y² = 81 + 22

x² + y² = 103

(x+ y)² = x² + y² + 2xy

(x+ y)² = 103 + 2 × 11

(x+ y)² = 103 + 22

(x + y)² = 125