x + y + z =2
x² + y² + z²= -2
x³ + y³ + z³ =64
Find x,y,z.
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x + y + z =2
x² + y² + z²= -2
x³ + y³ + z³ =64
x=2-y-z
(2-y-z)²+y²+z²=-2
4+y²+z²+y²+z²=-2
4+2y²+2z²=-2
2y²+2z²=-6
2(y²+z²)=-6
y²+z²=-3
y²=-3-z²
y=√ -3-z²
2-y-z+√-3-z²+y=2
-z³+√-3=0
-z³=-√-3
z³=√-3
z=³√-3
Hope it will help you
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