Fidn a quadratic equation with roots -1+4i and -1-4i
Stacey Warren - Expert brainly.com
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(x - root)(x - root), so you need to mulitply
\[(x + 1 - 4i)(x+1+4i)\]
When you do the imaginary parts will cancel and you'll have the quadratic
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I still don't understand it very well... i'm sorry @peachpi
do you know how to foil?
No not very well @peachpi
that's ok. basically it's just applying the distributive property. You take each term from the 1st parentheses and multiply it by each term in the second.
Starting with the \(x\) in the 1st, multiply and get
You try it with the 2nd and third terms. Just distribute.
The second one is right. The third is almost right.
-16i should be -16i².
Then because \(i^2=-1\), it reduces to 16.
Altogether is should be \(-4ix-4i+16\)
Yep makes sense now! @peachpi
so now all you have to do is add up what we got from the multiplication for each step. Every term with an i will cancel, and then combine everything else to get the final answer