Question

if x+y+z=1, xy+yz+zx= -1 ,find x²+y²+z²
Please answer if know​

Answer 1

Answer:

x²+y²+z²=3

Step-by-step explanation:

x+y+z=1

Squaring on both the sides

(x+y+z)²=(1)²

x²+y²+z²+2xy+2yz+2zx=1

x²+y²+z²+2(xy+yz+zx)=1

x²+y²+z²+2(-1)=1

x²+y²+z²-2=1

x²+y²+z²=1+2

x²+y²+z²=3