Question

Solve the equation x^3=−64 either algebraically or graphically.A. x=−6 B. x=−4C. x=−43D. x=−3

Answer 1

Given:

`\text{ The equation }x^3=-64`

Required:

Solve the equation.

Step-by-step explanation:

`\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√(3)i,2+2√(3)i \end{gathered}`

Graphically

Answer:

Option B is correct.