SOLUTION: p.16 #23 I cannot figure out how to create an equation from the following complex numbers a) 2+i and 2-i b) 3+2i and 2-3i thaks!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: p.16 #23 I cannot figure out how to create an equation from the following complex numbers a) 2+i and 2-i b) 3+2i and 2-3i thaks!      Log On


   

Question 146029This question is from textbook Advanced Functions & Introductory Calculus
: p.16 #23
I cannot figure out how to create an equation from the following complex numbers
a) 2+i and 2-i
b) 3+2i and 2-3i
thaks! This question is from textbook Advanced Functions & Introductory Calculus

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
figure out how to create an equation from the following complex numbers
a) 2+i and 2-i
I assume you want those complex numbers to be the solutions.
f(x) = (x-(2+i))(x-(2-i)
f(x) = ((x-2)-i)((x-2)+i}
f(x) = (x-2)^2+1
f(x) = x^2-4x+5
========================
b) 3+2i and 2-3i
f(x) = (x-(3+2i))(x-(2-3i))
f(x) = ((x-3)-2i)((x-2)+3i)
f(x) = (x-3)(x-2)+3i(x-3)-2i(x-2) + 6
f(x) = x^2-5x+6 + i[3x-9-2x+4] + 6
f(x) = x^2 - 5x + 12 +(x-5)i
===================
Cheers,
Stan H.