Respuesta :

What is the solution (not answer) to (not too) x^2 - 3x + 5 = 0?
This is a quadratic equation.  Two possible approches to solving it are
1) quadratic formula, and
2) completing the square.

Let's use the quadratic formula:

a=1, b= -3, c = 5

Then 
       -(-3) plus or minus sqrt( [-3]^2 - 4(1)(5) )
x = --------------------------------------------------------
                                      2
        3 plus or minus sqrt(9-20)        3 plus or minus i*sqrt(11)
   = ------------------------------------- = ------------------------------------
                              2

Please note:  These are complex roots, due to the " i ".