SOLUTION: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rationa

Question 282225: 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.
x^2 - 12x + 34 = 0
Answer by Mathematicians(84) (Show Source): You can put this solution on YOUR website!
The discriminant is (racist, lol jk):

in your case: a = 1, b = -12, c = 34

Basically, after this point. If the discriminant is:
< 0, it will have two distinct imaginary roots.
= 0, it will have a repeated root
> 0, it will have two distinct real roots
your answer is >0
=> it will have two distinct real roots
RELATED QUESTIONS
Use the discriminant to determine whether the following equations have solutions that... (answered by solver91311,jsmallt9)

Use the discriminant to determine whether the following equations have solutions that... (answered by richwmiller)

1. x2 - 8x + 16 = 36 2. use the discriminant to determine whether the following... (answered by oberobic)

Use the discriminant to determine whether the following equations have solutions that... (answered by richwmiller)

Use the discriminant to determine whether the following equations have solutions that... (answered by jim_thompson5910)

Need Help!!! use the discriminant to determine whether the following equations have... (answered by stanbon)

2. Use the discriminant to determine whether the following equations have solutions that... (answered by richwmiller)

Use the discriminant to determine whether the following equations have solutions that... (answered by CharlesG2)