imaginary numbers occur in the quadratic formula because of the radical symbol, and the possibility of a negative radican and that results in imaginary numbers. I hope this helped!
with numbers
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It is a graph.
Not in the case of Rational Numbers -- only in Imaginary Numbers, typically referring to the imaginary component.
An Argand Diagram is a graphical representation of a complex number. The real part is the horizontal coordinate, and the imaginary part is the vertical coordinate. See Related Link at Wolfram MathWorld.
The basic theory of imaginary numbers is that because (-) numbers squared are the same as (+) numbers squared there is not a correct continueos line on a graph.
Caspar Wessel, a Norwegian and Danish mathematician was the first to porpose representing complex numbers in a two dimensional plane using real and imaginary axes. The idea was developed by Jean-Robert Argand, a Frenchman.
In the Argand diagram (complex plane), numbers on the horizontal axis represent real numbers.
In the Argand diagram (complex plane), numbers on the horizontal axis represent real numbers.
Émile Argand died in 1940.
Émile Argand was born in 1879.
A complex number, z, may be written as z = x + iy where x and y are real and i is the imaginary square root of -1. x is the real part of z and iy is its imaginary part. The Argand diagram for z would show it as if it had the coordinates (x, y) in the Cartesian plane. However, where the Cartesian plane has the x-axis the Argand diagram has the real part, and where the Cartesian plane has the y-axis the Argand diagram has the imaginary part. Equivalently, z can be defined in terms of polar coordinates: z = (r, q). This is the same as z = rcosq + i*rsinq, so the real part is rcosq.
No. Irrational numbers are real numbers, therefore it is not imaginary.
Yes, over the real set of numbers. For example, the graph of y=x2+1 is a regular parabola with a vertex that is one unit above the origin. Because the vertex is the lowest point on the graph, and 1>0, there is no way for it to touch the x-axis.NOTE: But if we're considering imaginary numbers, the values "i" and "-i" would be the zeroes. I'm pretty sure that all polynomial functions have a number of zeroes equal to their degree if we include imaginary numbers.
Aimé Argand was born on 1750-07-05.
Aimé Argand died on 1803-10-14.