Question

WILL GIVE MEDALS find a quadratic equation with the roots -1+4i -1-4i

Answer 1

-1+4i
-1-4i

Answer 2

hi :)
did you know that if 'a' is a root, then (x-a) is a factor of that function.

Answer 3

no

Answer 4

just really lost on how to do this

Answer 5

now you know :)
so ,when -1+4i is a root,
(x-[-1+4i]) is a factor. right ?
what about the -1-4i as the root ?

Answer 6

(x+[1-4i])???

Answer 7

nopes, we just put
\((x-root)\)
so maybe try again once ?

Answer 8

(x-[-1-4i])?

Answer 9

correct!

Answer 10

so your equation is just (x- [-1+4i]) (x- [-1-4i]) = 0
now you just need to foil the left side, can you ?

Answer 11

no

Answer 12

x^2+2x+17=0 be another way of writing this?

Answer 13

x^2+2x+17=0 is correct!

Answer 14

really? lol wow i feel so dumb XD

Answer 15

so would that be the answer?

Answer 16

yes, it is correct final answer :)
good work!

Answer 17

thanks!

Answer 18

welcome ^_^