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Mathematics 10 Online
OpenStudy (anonymous):

HELP PRECALC IMPORTANT

OpenStudy (anonymous):

Find the real numbers x and y that make the equation true. -4 + yi = x + 3i

ganeshie8 (ganeshie8):

you have a complex number on each side

ganeshie8 (ganeshie8):

for two complex numbers to be equal, their real parts must be equal and the imaginary parts must also be equal

ganeshie8 (ganeshie8):

\[\color{red}{-4} + \color{purple}{y}i = \color{red}{x} + \color{purple}{3}i\]

ganeshie8 (ganeshie8):

just compare apples and oranges on both sides

OpenStudy (anonymous):

still confused lol

ganeshie8 (ganeshie8):

comparing real parts you get \[\color{red}{-4} = \color{Red}{x}\]

ganeshie8 (ganeshie8):

comparing imaginary parts you get \[\color{purple}{y} = \color{purple}{3}\]

ganeshie8 (ganeshie8):

we're done!

OpenStudy (anonymous):

oh wow i was making it more difficult than it needed to be.. thank you!!

ganeshie8 (ganeshie8):

not really, complex numbers are fun but they are very tricky when you first start dealing with them

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