If xy = 35 and x + y = 12, what is the value of x² + y²?
If xy = 35 and x + y = 12, what is the value of x² + y²?
Explanation
Given:
xy = 35
x + y = 12
To find x² + y²:
(x + y)² = x² + 2xy + y²
144 = x² + 2(35) + y²
144 = x² + 70 + y²
x² + y² = 144 - 70
= 74