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

Question

2 years ago

7

id="TexFormula1" title="x^2 - x + 1" alt="x^2 - x + 1" align="absmiddle" class="latex-formula">

1 answer:

IRINA_888 [86] · Answer 1 · 2022-10-14T08:07:05+03:00

Answer:

x = 1+√3 i/2 and x = 1-√3 i/2

Step-by-step 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