Complex number online Calculator tool
Complex number subtraction [ (a+bi) × (a+bi) ]
|
Complex number Division method [ (a+bi) / (a+bi) ]
|
Complex number square radical : [ r1 = x+yi ; r2 = -x-yi ]
|
Complex number calculate (i.e. plot) : add subtractive, multiply Division method.
TheComplex number addition follows the following rules: Let z1=a+bi,z2=c+di be arbitrarily two Complex numbers, Then the sum is (a+bi)+(c+di)=(a+c)+(b+d)i.
Specify Complex number subtraction according to the following rules: Let z1=a+bi, z2=c+di(a, b, c, d∈R) arbitrarily two Complex numbers, then their product (a+bi)(c+di)=(ac-bd)+(bc+ad)i.
Division methodcalculate Rules:
a Complex number a + bi (a, b) ∈ R, divided by the c + di (c, d ∈ R), the dealer to x + yi (x, y ∈ R), namely, (a + bi) present
(c + di) = x + yi
∵ (c + di) (x + yi) = (cx - dy) + (dx + cy) i.
∴ (cx - dy) + (dx + cy) I = a + bi.
Defined by Complex number equality cx-dy=a dx+cy=b
solutions of the Equation group, x = (ac + bd)/(c ^ 2 + d ^ 2) y = (BC - AD)/(c ^ 2 + d ^ 2)
and there (a + bi)/(c + di) = (ac + bd)/(c ^ 2 + d ^ 2) + (BC - AD)/(c ^ 2) ^ 2 + d I