Question

Find the equation whose roots are 1 , $\omega$ ,${\omega }^2$ where $\omega$ = $\frac{-1+i\sqrt{3}}{2}$

• A. x³ + 1 = 0
• B. x³ = 1
• C. x³ + x² + x + 1 = 0
• D. x³ + x + 1 = 0

Answer 1

The correct option is B

x³ = 1

1 , $\omega$ ,${\omega }^2$ are the cube roots of unity or roots of the equation $x^3$ = 1 . We can solve this question by substituting 1, $\omega$ ,${\omega }^2$ in the options and eliminating the options