Question

6. () If x+y = 12 and xy = 14, find the value of ( x² + y²)
(i) If x - y = 7 and xy = 9, find the value of ( x² + y²)​

Answer 1

Answer:

116

67

Step-by-step explanation:

(x+y)^2=12^2

or,x^2+2xy+y^2=144

or,x^2+2×14+y^2=144

or,x^2+y^2=144-28

x^2+y^2=116

(x-y)^2=7^2

or,x^2 - 2xy + y^2 = 49

or,x^2+ y^2= 49+2×9

or,x^2+y^2=67