SOLUTION: What is the quadratic equation that has a one root of 1+2i?
my work:
(1+2i)+(1-2i)= 2
(1+2i)(1-2i)= {{{1-4i^2}}}=1+4=5
a=1 b=-2 c=5
{{{x^2-2x+5}}}
I'm not sure if i
Question 697482: What is the quadratic equation that has a one root of 1+2i?
my work:
(1+2i)+(1-2i)= 2
(1+2i)(1-2i)= =1+4=5
a=1 b=-2 c=5
I'm not sure if i found the answer correctly. Found 2 solutions by jim_thompson5910, MathTherapy:Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! You have the correct answer. I would have gone a different route, but you did it correctly. Nice work.
You can put this solution on YOUR website! What is the quadratic equation that has a one root of 1+2i?
my work:
(1+2i)+(1-2i)= 2
(1+2i)(1-2i)= =1+4=5
a=1 b=-2 c=5
I'm not sure if i found the answer correctly.
That's exactly how the equation is determined.
With a being 1, b = - (sum of roots); and c = product of roots
Now, as these come in congugate pairs, the roots are: (1 + 2i) & (1 - 2i)
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