SOLUTION: Find in its simplest form, the quadratic equation with the pair of solutions 1/2±3i Unsure where to start, maybe square form? Thank you for any help

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find in its simplest form, the quadratic equation with the pair of solutions 1/2±3i Unsure where to start, maybe square form? Thank you for any help      Log On


   

Question 1043489: Find in its simplest form, the quadratic equation with the pair of solutions 1/2±3i
Unsure where to start, maybe square form?
Thank you for any help
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-%281%2F2-3i%29%29%28x-%281%2F2%2B3i%29%29=0

%28x-1%2F2%2B3i%29%28x-1%2F2-3i%29=0

%28x-1%2F2%29%5E2-%283i%29%5E2=0

x%5E2-x%2B1%2F4%2B9=0

x%5E2-x%2B1%2F4%2B36%2F4=0

highlight%28x%5E2-x%2B37%2F4=0%29


Question asked for simplest form, which could be found this way:
4%28x%5E2-x%2B37%2F4%29=4%2A0
highlight%284x%5E2-4x%2B37=0%29