SOLUTION: please help me with this problem.find a quadratic equation with roots (4+i)and (4-i). thank you

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: please help me with this problem.find a quadratic equation with roots (4+i)and (4-i). thank you       Log On


   

Question 31295: please help me with this problem.find a quadratic equation with roots (4+i)and (4-i). thank you
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
if roots are (4+i) and (4-i) then that means that x-(4+i)=0 or x-(4-i)=0

x-4-i=0 or x-4+i=0
or (x-4-i)(x-4+i)=0 give the roots.

So, +y+=+x%5E2+-+4x+%2B+ix+-+4x+%2B+16+-+4i+-+ix+%2B+4i+-+i%5E2+ is the equation required.
+y+=+x%5E2+-+4x+-+4x+%2B+16+-+%28-1%29+
+y+=+x%5E2+-+8x+%2B+16+%2B+1+
+y+=+x%5E2+-+8x+%2B+17+

the equation is +y+=+x%5E2+-+8x+%2B+17+

jon.