Question 82146
please assist me in solving this problem by using the quadratic formula 
x² - x + 1 = 0

<pre><font size = 5><B>

         x² - x + 1 = 0

Use the quadratic formula:
                  ______ 
            -b ± <font face = "symbol">Ö</font>b²-4ac
        x = —————————————
                2a 

where a = 1; b = -1; c = 1

                      _____________
             -(-1) ± <font face = "symbol">Ö</font>(-1)²-4(1)(1)
        x = ————————————————————————
                     2(1) 
                  ___ 
             1 ± <font face = "symbol">Ö</font>1-4
        x = ———————————
                 2

                  __ 
             1 ± <font face = "symbol">Ö</font>-3
        x = ———————————
                 2 

                   _ 
             1 ± i<font face = "symbol">Ö</font>3
        x = ——————————
                 2 

                   _ 
             1 ± i<font face = "symbol">Ö</font>3
        x = —————————
                 2 

                     _
             1     i<font face = "symbol">Ö</font>3
        x = ———— ± ——————
             2       2

                    _
             1     <font face = "symbol">Ö</font>3
        x = ——— ± ————i
             2      2

Using the +

x = {{{1/2}}} + {{{(sqrt(3)/2)i}}}

Using the -

x = {{{1/2}}} - {{{(sqrt(3)/2)i}}}

Edwin</PRE>