complex numbers Watch

mickymouse1995
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hi ive got the following question but im just getting really confused

(u+3)/(u-i)=2i where u=a+bi find a and b

any help would be grateful

thank you
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brianeverit
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(Original post by mickymouse1995)
hi ive got the following question but im just getting really confused

(u+3)/(u-i)=2i where u=a+bi find a and b

any help would be grateful

thank you
Put a+bi in place of u, clear your fraction, simplify and equate real and imaginary parts to give a pair of simultaneous equations in a and b
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ghostwalker
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Alternatively: Rearrange to get it into the from u = a+ib - no great work required, multipy bu "u-i", rearrange to get u on one side, divide by the coeff of u, simplify your complex no. and there's your answer.
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mickymouse1995
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thank you xxx
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