Question 431282: Find the quadratic equation with integral coefficients having the given roots.
4 + 2i, 4 - 2i
Thanks!! Found 2 solutions by robertb, richard1234:Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! The coefficient of x is equal to -(4 + 2i + 4- 2i) = -8.
The constant term is equal to (4+2i)(4-2i) = 16 - 4(-1) = 20.
Hence the quadratic equation is .
You can put this solution on YOUR website! The quadratic will have and as factors. Hence, the quadratic is equal to (applying the difference of two squares)
