Question

If x3 = -27, then what is x?

Answer 1

\(\large x^3 = -27 \Rightarrow \sqrt[3]{x^3} = x = \sqrt[3]{-27}\)

\(\large\sqrt[3]{-27} = \space ?\)

Answer 2

HINT: 3³ = 27

Answer 3

can be written as
x^3+27=0
x^3+3^3=0
x^3+3^3=0
since
\[\Large a^3+b^3=(a+b)(a^2-ab+b^2)\]

(x+3)(x^2-3x+9)=0
x+3=0
x^2-3x+9=0 (use quaadratic equation you will get complex roots )