SOLUTION: Evaluate the discriminant for the following equation. Then use it to determine the number of distinct​ solutions, and tell whether they a

Algebra ->  Real-numbers -> SOLUTION: Evaluate the discriminant for the following equation. Then use it to determine the number of distinct​ solutions, and tell whether they a      Log On


   

Question 1051694:













Evaluate the discriminant for the following equation. Then use it to determine the number of distinct​ solutions, and tell whether they are​ rational, irrational, or nonreal complex numbers.

4 x squared plus 5 x plus 1 equals 04x2+5x+1=0


The discriminant is
nothingm. ​(Simplify your​ answer.)
Determine the number of distinct​ solutions, and tell whether they are​ rational, irrational, or nonreal complex numbers. Choose the correct answer below.


Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
4 x squared plus 5 x plus 1 equals 04x2+5x+1=0
-

4x%5E2%2B5x%2B1=0


ax%5E2%2Bbx%2Bc=0
Discriminant is b%5E2-4ac.

Not just the sign you are using to decide. Also the rationality or irrationality is part of your determination.


YOU can do this.
sqrt%28b%5E2-4ac%29 positive WHOLE number, then two Real RATIONAL solutions.
b%5E2-4ac%3C0 means nonreal complex solutions, two of them.
sqrt%28b%5E2-4ac%29%3E0 but irrational, then two irrational solutions.

FORM your discriminant!