Question

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 1

If an equation is of the form
Ax^2 + Bx + C = 0
The discriminant is
B^2 - 4*A*C

If the discriminant is 0, there is one real solution.
If the discriminant is negative, there are no real solutions, but two complex solutions.
If the descriminant is positive, there are two real solutions.
Within this, you can check if those two solutions are rational or not by trying to take the square root of the discriminant.

Answer 2

Try using that, and ask me any questions if they come up.

Answer 3

wow! ok so I will see if I can solve this. thanks