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How to solve quadratic equations by graphing

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
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1 Answer

- 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