Question 127

If $$x + y + z = 0$$ and $$xyz = 5$$, then $$x^3 + y^3 + z^3 =$$

Solution

Given, $$x + y + z = 0$$ and $$xyz = 5$$

When $$x+y+z=0$$, then $$x^3+y^3+z^3=3xyz$$

$$\Rightarrow$$ $$x^3+y^3+z^3=3\left(5\right)$$

$$\Rightarrow$$ $$x^3+y^3+z^3=15$$

Hence, the correct answer is Option B

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