algebra 2
posted by Jessica .
2X^49X^3+3X^2X5=0
Given that one root is 2+i, solve the equation.
So far I have it set up like this:
2X^49X^3+3X^2X5/X^24X+5
I don't know how to get the answer, I know that I have to use long division but when I started to try it I kept getting weird answers. Please Help

I think there is something wrong here,
either you have a typo in the opening equation, or the question is faulty.
If one root is 2+i, then 2i must be another root
You correctly determined that
x^2  4x + 5 must then be a factor
When I divided that into the original, I got an answer of 2x^2  x 11 with a remainder of 40x + 50 
my bad the original equation is:
2X^4  9X^3 + 13X^2  X  5 = 0 
Ok, this time my division was exact, as expected,
and I got 2x^2  x  1, which factors to
(2x + 1)(x  1)
so the roots are
2+i, 2i, 1/2, and 1 
oh I get it thanks
Respond to this Question
Similar Questions

Math
The graph of the equation y=4x consists of all the points in the coordinate plane that satisfy the equation. List 5 points that satisfy y= 4x. Also, what do you think is the minimum number of points you need to plot in order to draw … 
math/algebra
I have a triangle one side = 3 side 2 = square root5  square root 3 side 3 = square root 5 + square root 3 I can get the answer 3 and I know I am missing the square root part of the equation can you help me by showing how this problem … 
Algebra
Solve 2+ the square root of 4x=x what is your question? 
Algebra
I have some problems that I am having trouble with and I have some that need checking please. Thanks! Solve the equation. 4. (x+7/4)=2(x1/6) Find all the value(s) of x that make thedenominator(s) zero. Then solve the equation. 6. … 
algebra 2
2X^49X^3+3X^2X5=0 Given that one root is 2+i, solve the equation. So far I have it set up like this: 2X^49X^3+3X^2X5/X^24X+5 I don't know how to get the answer, I know that I have to use long division but when I started to try … 
algebra 2
2X^49X^3+13X^2X5=0 Given that one root is 2+i, solve the equation. So far I have it set up like this: 2X^49X^3+13X^2X5/X^24X+5 I don't know how to get the answer, I know that I have to use long division but when I started to … 
college algebra
Solve: sq root of (x+1) minus 3 = sq root of (x+4) when I solve it I get zero, but when I plug it back in only one answer works. do both have to work for it to have a solution? 
Geometry
how do you solve using midpoint equation if you only have one pair of points? 
College Algebra
I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great. 1. Use the discriminant to determine whether the given equation has two irrational … 
College AlgebraStill Confused
I have a few problems I need help with and also do have multiple choice. If I can have an explanation of how to get the answer that would be great. 1. Use the discriminant to determine whether the given equation has two irrational …