SOLUTION: I need help with this problem also. Let me know if I am on the right track. Thank you in advance. i can get started but I can't finish and we must show our work. I know the answer

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I need help with this problem also. Let me know if I am on the right track. Thank you in advance. i can get started but I can't finish and we must show our work. I know the answer      Log On


   

Question 165017This question is from textbook elementary and intermediate algebra
: I need help with this problem also. Let me know if I am on the right track.
Thank you in advance. i can get started but I can't finish and we must show our work. I know the answer but I can't explain to my professor how I got there?We must type our work in this online class. Is there software i can get to use the real math symbols?

x^2 - 4x + 5=0
a=1 b=-4 c=5

3.What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
This question is from textbook elementary and intermediate algebra

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-4x+5=0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-4x%2B5+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-4%29%5E2-4%2A1%2A5=-4.

The discriminant -4 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -4 is + or - sqrt%28+4%29+=+2.

The solution is x%5B12%5D+=+%28--4%2B-i%2Asqrt%28+-4+%29%29%2F2%5C1+=++%28--4%2B-i%2A2%29%2F2%5C1+, or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-4%2Ax%2B5+%29