Answer :

Given:

[tex]\text{ The equation }x^3=-64[/tex]

Required:

Solve the equation.

Explanation:

[tex]\begin{gathered} x^3=-64 \\ \text{ We can write it as} \\ x^3+64=0 \\ x^3+4^3=0 \\ \text{ We know }a^3+b^3=(a+b)(a^2+b^2-ab) \\ (x+4)(x^2+16-4x)=0 \\ x=-4,2-2\sqrt{3}i,2+2\sqrt{3}i \end{gathered}[/tex]

Graphically

Answer:

Option B is correct.

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