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

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(52797) (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) =  =  = .

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