![X+Y+Z=1 and x3+y3+z3=4 then](https://www.gkseries.com/blog/wp-content/uploads/2024/04/XYZ1-and-x3y3z34-then.jpg)
X+Y+Z=1 and x3+y3+z3=4 then
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-280-1024x216.png)
?
(a)0
(b)1
(c)-3
(d)-2
Sol:
Put x = 0
y + z = 1, y³ + z³ = 4
(y + z)³ = 1
y³ + z³ + 3yz(y + z) = 1
4 + 3yz = 1
yz = -1
ATQ
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-281-1024x793.png)
X+Y+Z=1 and x3+y3+z3=4 then
?
(a)0
(b)1
(c)-3
(d)-2
Sol:
Put x = 0
y + z = 1, y³ + z³ = 4
(y + z)³ = 1
y³ + z³ + 3yz(y + z) = 1
4 + 3yz = 1
yz = -1
ATQ
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