complex number = real number + real number X imagine number
the two type of number that real and imaginary number make a complex number
complex number is just a combination of thi two number
so to understand to complex number we have to know what is imaginary number
imaginary number is a number that we cant found our real word but it's exist we have a proof
a^2 -1=0
in this equation there is no real soluation in real world (to solve this equation we must have a negative number for a^2) ,
if we go out from the real world or real number line we will find a solution and this soluatin is called imagine soluation
so what happend with a^2 in imaginary number or imaginary world
if a is positive then result come positive for a^2 ....(1)
if a is negetive then also result come positive for a^2 .....(2)
there is a twist in imaginary number we get negative result for (1) and (2)
its actually mean there is another one sign that are not positive and not negative
for more clearly there is two side of a coin head and tail but in imaginary there is one more side .but this side is not exist in our real world, it only exist in imaginary world.
but we did not what is that sign .what it look like .we often call it i. i^2=a negative number or normaly -1
:)
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