SOLUTION: Can someone please help? Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational sol

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone please help? Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational sol      Log On


   

Question 408269: Can someone please help?
Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
25x2 = 10x – 1

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
25x%5E2+-+10x+%2B+1+=+0

I'll let d be the discriminant

d+=+sqrt%28b%5E2+-+4ac%29+=+sqrt%28100+-+4%2825%29%281%29%29+=+0. Therefore there is one (rational) root of multiplicity two.