Question

I need help!! Find a quadratic equation with roots -1+4i and -1-4i

Answer 1

0k

Answer 2

if a and b are root of a quadratic then (x-a)(x-b)=0

Answer 3

so you are given two roots what do you do?

Answer 4

plug the values in and distribute?

Answer 5

yes

Answer 6

Thank you sooo much!!!! :D

Answer 7

This is how I would prove.

(b is a positive constant)

\(\large\color{#000000 }{ \displaystyle x=-a\pm bi }\)
\(\large\color{#000000 }{ \displaystyle x+a=\pm bi }\)
\(\large\color{#000000 }{ \displaystyle (x+a)^2=-b }\)
\(\large\color{#000000 }{ \displaystyle x^2+2ax-a^2=-b }\)
\(\large\color{#000000 }{ \displaystyle x^2+2ax-a^2+b =0}\)

Answer 8

completing the square, but, backwards ))