Question

Find the quadratic equation with roots -1+ 4i and -1 - 4i

Answer 1

just write it in the form (x-a)(x-b)=0 and expand the brackets, where a and b are the given roots

Answer 2

so (4-1) (-4-1) ?

Answer 3

not sure what u mean - the roots are complex numbers

Answer 4

do you know the answer? maybe ill kind of get it more idk

Answer 5

have you met complex numbers before ?

Answer 6

No

Answer 7

you really need to know some complex algebra to tackle this question
the i that appears in your question is the imaginary unit, defined so that i squared = -1
that's about all you need to know get the answer here

Answer 8

4i = -1 ?

Answer 9

im very bad at this erh

Answer 10

you need to read up on quadratic equations a bit

Answer 11

i really should

Answer 12

but could you show me how to do this step by step or nah...

Answer 13

do you understand what the root of a quadratic equation is ?

Answer 14

I believe so

Answer 15

ok, and any quadratic has 2 roots

Answer 16

if you call the roots a and b, then you can reconstruct the original equation by writing it as (x-a)(x-b)=0 and expanding the brackets

Answer 17

now in your particular example, a = -1+4i and b = -1-4i

Answer 18

so you have to expand (x+1-4i)(x+1+4i) = 0

Answer 19

just multiply out the brackets and remember that wherever you get i^2, you can replace it with -1