anonymous
  • anonymous
x2-7x+9yi= y2i+20i-12 find x and y
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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experimentX
  • experimentX
compare the real and imaginary parts on both sides and solve the 2x2 system
terenzreignz
  • terenzreignz
Building up on that, let's just single out the real and imaginary parts... \[\Large \color{red}{x^2-7x}\color{blue}{+9y}\color{green}i=\color{blue}{(y^2+20)}\color{green}i\color{red}{-12}\]
terenzreignz
  • terenzreignz
So, the real parts (red) must be equal, as must the imaginary (blue) parts. Like so: \[\Large \color{red}{x^2-7x}=\color{red}{-12}\]\[\Large \color{blue}{9y}=\color{blue}{y^2+20}\] Just solve these two quadratic equations (factoring seems to work) and you'll get yourself two solutions apiece for both x and y. Enjoy :)

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anonymous
  • anonymous
plzz tell me i donot know how to do
terenzreignz
  • terenzreignz
I'm not good at teaching how to factor... better outsource that :P
experimentX
  • experimentX
you sure put lot of effort latex

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