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 ?
complex-numbers graphing-functions quadratics
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up vote
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down vote
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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 ?
complex-numbers graphing-functions quadratics
add a comment |Â
up vote
2
down vote
favorite
up vote
2
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 ?
complex-numbers graphing-functions quadratics
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 ?
complex-numbers graphing-functions quadratics
asked Aug 9 at 16:37
Arnuld
4511
4511
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1 Answer
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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
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
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.
add a comment |Â
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.
add a comment |Â
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.
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.
answered Aug 9 at 16:41
José Carlos Santos
115k1699177
115k1699177
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