Q:

i need help solving math promblemf(x)=x to the power of x2-12x+44

Accepted Solution

A:
Did you mean:  "find the roots of f(x) = x^2 - 12x + 44?"

If so, notice that a=1, b= -12 and c=44.

According to the quadratic formula,

        -b plus or minus sqrt(b^2 - 4ac)
x = ----------------------------------------------
                            2a

Here, with a=1, b= -12 and c=44,


        12 plus or minus sqrt([-12]^2 - 4[1][44])
x = -------------------------------------------------------
                            2[1]


This simplifies to 
 
       12 plus or minus sqrt(144-176)
x = -------------------------------------------
                             2
        12 plus or minus sqrt( -32)
   = ---------------------------------------
                             2

   = 6 plus or minus 2i*sqrt(2)