SOLUTION: 1. The solution of a polynomial equation are shown below. x = 3+4i x = 5 What is the standard from of the equation? 2. Which choice represents the solutions to the quadrat

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 1. The solution of a polynomial equation are shown below. x = 3+4i x = 5 What is the standard from of the equation? 2. Which choice represents the solutions to the quadrat      Log On


   

Question 1033958: 1. The solution of a polynomial equation are shown below.
x = 3+4i
x = 5
What is the standard from of the equation?
2. Which choice represents the solutions to the quadratic equation shown below?
0 = x^2 + 10x + 29
a. x=1 and x=29
b. x=-5-2i and x=-5+2i
c. x=5-2i and x = 5 + 2i
3. Which choice represents the solutions to the equation shown below?
(x^2 + 9)(25x^2 - 100x +100)
a. there are two solutions, one complex and one real
b. there are three solutions, one complex and two real
c. there are three solutions, two complex and one real
d. there are four solutions, two complex and two real

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
#3:

%28x%5E2%2B9%29%2825x%5E2-100x%2B100%29
-
%28x%5E2%2B9%2925%28x%5E2-4x%2B4%29
25%28x%5E2%2B9%29%28x-2%29%5E2

Two complex solutions, and one real solution of multiplicity two.

#1:

Start with %28x-%283%2B4i%29%29%28x-%283-4i%29%29%28x-%285%29%29=0.
Complex solutions come as conjugate pairs.
Simplify the left side.