X+Y+Z=1 and x3+y3+z3=4 then

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