Imaginary Roots of quadratics and Graph

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I have this equation: $x^2-4x+5 = 0$ . Its roots are imaginary $2 pm i$ and I read in Algebra book/resource somewhere that to graph a quadratic equation with imaginary/complex roots, you need a complex-plane. But I can graph this (it is a parabola) with real numbers without any need for complex plane. What gap is there in my knowledge of algebra ?



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complex-numbers graphing-functions quadratics




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    I have this equation: $x^2-4x+5 = 0$ . Its roots are imaginary $2 pm i$ and I read in Algebra book/resource somewhere that to graph a quadratic equation with imaginary/complex roots, you need a complex-plane. But I can graph this (it is a parabola) with real numbers without any need for complex plane. What gap is there in my knowledge of algebra ?



    enter image description here




    complex-numbers graphing-functions quadratics




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      up vote
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      up vote
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      down vote

      favorite











      I have this equation: $x^2-4x+5 = 0$ . Its roots are imaginary $2 pm i$ and I read in Algebra book/resource somewhere that to graph a quadratic equation with imaginary/complex roots, you need a complex-plane. But I can graph this (it is a parabola) with real numbers without any need for complex plane. What gap is there in my knowledge of algebra ?



      enter image description here




      complex-numbers graphing-functions quadratics




      share|cite|improve this question












      I have this equation: $x^2-4x+5 = 0$ . Its roots are imaginary $2 pm i$ and I read in Algebra book/resource somewhere that to graph a quadratic equation with imaginary/complex roots, you need a complex-plane. But I can graph this (it is a parabola) with real numbers without any need for complex plane. What gap is there in my knowledge of algebra ?



      enter image description here





      complex-numbers graphing-functions quadratics





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      asked Aug 9 at 16:37









      Arnuld

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          There is no need of the complex plane to graph a quadratic function. But you need it in order to see the roots of your specific quadric.






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            1 Answer
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            up vote
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            There is no need of the complex plane to graph a quadratic function. But you need it in order to see the roots of your specific quadric.






            share|cite|improve this answer
























              up vote
              2
              down vote



              accepted










              There is no need of the complex plane to graph a quadratic function. But you need it in order to see the roots of your specific quadric.






              share|cite|improve this answer






















                up vote
                2
                down vote



                accepted







                up vote
                2
                down vote



                accepted






                There is no need of the complex plane to graph a quadratic function. But you need it in order to see the roots of your specific quadric.






                share|cite|improve this answer












                There is no need of the complex plane to graph a quadratic function. But you need it in order to see the roots of your specific quadric.







                share|cite|improve this answer












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                answered Aug 9 at 16:41









                José Carlos Santos

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