Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

If x+y= -4 and xy=2, then find the value of x²+y²​

Sagot :

Answer:

x² + y² = 12

Step-by-step explanation:

x + y = -4

xy = 2

x² + y² = (x+y)² - 2xy = (-4)² - 2(2) = 16 - 4 = 12

X+y = -4
Xy=2

(x+y)^2= x^2+y^2+2xy
(-4)^2=x^2+y^2+2(2)
16 = x^2+y^2+4
x^2+y^2=16-4
Therefore x^2+y^2 = 12