To solve for x we apply quadratic formula
[tex]x^2 - 6x + 58 = 0[/tex]
quadratic formula is
[tex]x= \frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
From the given equation
a=1 , b=-6 and c= 58
Plug in all the values in the formula
[tex]x= \frac{-(-6)+-\sqrt{(-6)^2-4(1)(58)}}{2(1)}[/tex]
[tex]x= \frac{6+-\sqrt{-196}}{2}[/tex]
square root (-1) is 'i'
[tex]x= \frac{6+-14i}{2}[/tex]
We will get two values for x
[tex]x= \frac{6+14i}{2}=3+7i[/tex]
[tex]x= \frac{6-14i}{2}=3-7i[/tex]
So x= 3+7i , x= 3-7i