meee8405
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plzz help asap, I'll mark you the brainliest if you tell me how to solve this with step by step explanation ❤❤

if x+y+z=1 and 1/x+1/y+1/z=0
what is x²+y²+z²=?

A) 0
B) 1
C) 2
D) 3
​

Respuesta :

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] + [tex]\frac{1}{z}[/tex] = 0 , then

[tex]\frac{yz+zx+xy}{xyz}[/tex] = 0 , so

yz + zx + xy = 0

Now

(x + y + z)² = x² + y² + z² + 2(xy + yz + zx) , that is

1² = x² + y² + z² + 2(0) , thus

x² + y² + z² = 1

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