SOLUTION: Write the quadratic equation with a lead coefficient of 1 whose roots are 1+4i and 1-4i. -- I got part of it I believe, but got stuck. An explanation of how to completely solve wou

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Question 1024341: Write the quadratic equation with a lead coefficient of 1 whose roots are 1+4i and 1-4i. -- I got part of it I believe, but got stuck. An explanation of how to completely solve would be great, thank you :)
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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Write the quadratic equation with a lead coefficient of 1 whose roots are 1+4i and 1-4i. -- I got part of it I believe, but got stuck. An explanation of how to completely solve would be great, thank you :)
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The quadratic polynomial is (x - (1+4i))*(x - (1-4i)).


You can transform it further


= ((x-1) -4i)*((x-1) +4i) = %28x-1%29%5E2+-16%2A%28i%5E2%29 = x%5E2+-+2x+%2B+1+%2B+16 = x%5E2+-+2x+%2B+17.