SOLUTION: Write the equation with a lead coefficient of 1 whose roots are 1+2i and 1-2i. -- I wasn't sure about what the appropriate topic I should have chosen for this problem. Thank yo

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Question 1021739: Write the equation with a lead coefficient of 1 whose roots are 1+2i and 1-2i.
-- I wasn't sure about what the appropriate topic I should have chosen for this problem. Thank you for any help :)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the equation with a lead coefficient of 1 whose roots are x%5B1%5D=1%2B2i and x%5B2%5D=1-2i:
y=%28x-x%5B1%5D%29%28x-x%5B2%5D%29
y=%28x-%281%2B2i%29%29%28x-%281-2i%29%29

y=%28x-1-2i%29%28x-1%2B2i%29

y=x%5E2-x%2B2i%2Ax-x%2B1-2i-x%282i%29%2B%282i%29-4i%5E2

y=x%5E2-x-x%2B1-4%28-1%29
y=x%5E2-2x%2B1%2B4
y=x%5E2-2x%2B5