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Mathematics 8 Online
OpenStudy (anonymous):

Which of the following is a conjugate for −10 + 3i?

OpenStudy (anonymous):

How do you do conjugates? I think the answer is -10 - 3i

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

So you just change the second term?

OpenStudy (anonymous):

the conjugate of \(a+bi\) is \(a-bi\) yes

OpenStudy (anonymous):

So the conjugate of... let's say 6 + 7i is 6 -7i?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

it has a name because if you use the quadratic formula to solve an equation, and the zeros are complex, then if \(a+bi\) is a root, so is \(a-bi\)

OpenStudy (anonymous):

also you should note that \((a+bi)(a-bi)=a^2+b^2\) a real number

OpenStudy (anonymous):

Okay, thank you so much for your help. I get it now :)

OpenStudy (anonymous):

yw

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