How to Factor the Trinomial x^2 - x + 1 using the box method? x^2 - x + 1

Question

How to Factor the Trinomial x^2 - x + 1 using the box method?


`x^2 - x + 1`

Answer 1

x = 1+√3 i/2 and x = 1-√3 i/2

Explanation:

Given the expression x^2 - x+ 1, we are to factorize the expression as shown;

x^2 - x+ 1,

using the general formula

x = -(-1)±√1²-4(1)/2(1)

x = 1±√1-4/2

x= 1±√-3/2

x = 1±√3 i/2

Hence the required value of x are x = 1+√3 i/2 and x = 1-√3 i/2