We have said that the graph of a real number is a
point in the linear coordinate system, so the graph of a set of numbers will be
a set of points. Some number sets can be expressed symbolically using the
absolute value.
EXAMPLES OF GRAPHICS OF A NUMERICAL SET:
A) I x I3, will be interpreted as the set of points
that are 3 units of origin. I x I = 3 ⇔ x = 3 or x = -3
Solution: {3} U {-3} = {3, -3}
Graph:
b (X + 1) = 5, can be interpreted as the set of
points that are at 5 units of - 1 (x + I) = (x - (- 1)) = 5
(X + 1) = 5x + 1 = 5 or x + 1 = -5
Solution: {x Ix - (- 1) I = 5} = {xlx + 1 = 5 or x
+ 1 = -5} = {4, -6}
Graph:
COMPLEX
NUMBERS
Complex numbers are algebraic combinations of
numbers
Real with imaginary numbers.
Why do imaginary numbers arise?
Roots of negative index coupled roots have no
response in R.
To solve this problem, the number j is created.
Ejemplos:
1 + i 12-3.1i 0.85-2i π + πi √2 + i/2
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