SOLUTION: find a quadratic equation with roots (4+i) and (4-i)

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: find a quadratic equation with roots (4+i) and (4-i)      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 203582: find a quadratic equation with roots (4+i) and (4-i)
Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
find a quadratic equation with roots (4+i) and (4-i)
-----
f(x) = (x-(4+i))(x-(4-i))
---
f(x) = ((x-4)-i)((x-4)+i)
---
f(x) = (x-4)^2 - i^2
---
f(x) = (x^2-8x+16 + 1
f(x) = x^2 - 8x + 17
============================
Cheers,
Stan H.