If x + y + z = 11, x² + y² + z² = 133 and x³ + y³ + z³ = 881, then the value of [Image] is ?

If x + y + z = 11, x² + y² + z² = 133 and x³ + y³ + z³ =…

If x + y + z = 11, x² + y² + z² = 133 and x³ + y³ + z³ = 881, then the value of is ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 ie -6.

x + y + z = 11 eq 1

x² + y² + z² = 133 eq 2

x³ + y³ + z³ = 881 eq 3

Lets assume

[x = ±4, y = ±6, z = 9]

Putting in eq 1

We get the combination as:

[x = -4, y = 6, z = 9]

= -6