How to solve quadratic equations by graphing

Question

I am working on Algebra 2. For example I have a problem written like this, -x^2+2x-4=0 and I'm supposed to solve the equation. If exact roots cannot be found, state the consecutive integers between which the roots are located. We are also shown a graph and are told to graph it. Please help

Answer 1

- X^2 + 2X - 4 =0

 

- ( X^2 - 2x + 4 ) = 0

 

  -( X^2 -2X +1 + 4 -1 ) =0

 

- ( ( X - 1) ^2 + 3 ) =0

 

   -[ ( X - 1 )^ 2 = -3 ] = 0

 

 1 +i <  X < 1 +2 i         1 -i <X < 1-2i

 

 Note: 1 < √3 < 2