Please note: two complex numbers are equal when their real parts are equal and their imaginary parts are equal. i.e., if a+bi=c+di, then a=c and b=d Find real numbers X and Y for which: (X+yi)(y-i)=-4-7i
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Originally Posted by Tessarina Please note: two complex numbers are equal when their real parts are equal and their imaginary parts are equal. i.e., if a+bi=c+di, then a=c and b=d Find real numbers X and Y for which: (X+yi)(y-i)=-4-7i . The real parts need to be equal, and the imaginary parts need to be equal. So and . Solve these equations simultaneously for and .
Originally Posted by Tessarina Please note: two complex numbers are equal when their real parts are equal and their imaginary parts are equal. i.e., if a+bi=c+di, then a=c and b=d Find real numbers X and Y for which: (X+yi)(y-i)=-4-7i Thanks for helping, but i tried to work it out and i still cant get it, This is the answer in the back of the book--- X=-1 Y=0
Either you have copied the problem incorrectly or the answer is given incorrectly. If x= -1 and y= 0 then (x+yi)(y-i)= (-1+0i)(0- i)= (-1)(-i)= i, not -4- 7i.
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