Theory of Intelligence
11TH•Mathematics•Complex Numbers•Exercise 1.2

Theory

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Theory

  • (x+iy)2=(x2−y2)+2xy i(x+iy)^2=(x^2-y^2)+2xy\,i.
  • If x+iy=a+bix+iy=a+bi, then x=ax=a and y=by=b.
  • To simplify a fraction a+bic+di\dfrac{a+bi}{c+di}, multiply numerator and denominator by c−dic-di.

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