Question

if x-y =7 and xy =9 find the value of x sqaure and y square

Answer 1

(x - y)² = x² + y² - 2xy

Sub (x - y) = 7 and xy = 9 into the equation:

7² = x² + y² - 2(9)

Evaluate each term:

49 = x² + y² - 18

Add 18 to both sides:

x² + y² = 49 + 18

x² + y² = 67

Answer: The value of x² + y² is 67