SOLUTION: one of the questions to my homewok that i am having trouble with answering was r^2-3r/5+2/25=0 and the homework asks to find the value of the discriminant and describe the nature o

Question 686643: one of the questions to my homewok that i am having trouble with answering was r^2-3r/5+2/25=0 and the homework asks to find the value of the discriminant and describe the nature of the roots of each quadratic equation Then solve the equation and ive tried various ways but i have no confidence so o=if you can help that would be great
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
When you have the equation in the form
, the the discriminant is

The rules are:
(1) If , then there are 2 imaginary roots
(2) If , then there are 2 real roots
(3) If , then there is a single real root ( called a double root )
-----------------------
Your equation is:

( note that this is saying , which means that the
values of that you find will be the x-crossings which are the roots )
------------------------
The fact that you have and not doesn't matter
The form is still

Now just plug these into the discriminant

This is a positive result, so there are 2 roots, and they are real
Now to solve equation:

( I could see the result by inspection )
and
are the solutions
But here's solution by completing the square:

take the square root of both sides

But, also I can say that

Taking the negative square root of (1/10)^2

I get the same answers
I hope this helps

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