SOLUTION: The complex number 3-4i is one root of the quadratic equation x^2+bx+c=0. What is the second root? What are the values of b and c.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The complex number 3-4i is one root of the quadratic equation x^2+bx+c=0. What is the second root? What are the values of b and c.      Log On


   

Question 1066981: The complex number 3-4i is one root of the quadratic equation x^2+bx+c=0.
What is the second root? What are the values of b and c.
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
Start this way, ultimately to multiply later.

The other root is 3+4i.

%28x-%283-4i%29%29%28x-%283%2B4i%29%29=0
Do you understand what to do here?

---No?

Simplify the left member, by working first within the parentheses, and then performing the multiplication, and combine like terms. Put into "general" form. You will be able to read "b" and "c" right from the finished equation.

Here is the first step:
%28x-3%2B4i%29%28x-3-4i%29=0

The second step:
%28%28x-3%29%2B4i%29%28%28x-3%29-4i%29=0

Now you should understand the next steps to take and finish.
You do this!