Question 31905
Discriminant= b^2-4ac

Positive discriminant= x^2+9x+1=0
b^2-4ac = 9^2-4(1)(2)=81-8=72
Meaning= The equation has two solutions because the discriminant is positive,thre are two xcoordinates. 

Negetive discriminant= 3x^2+2x+2=0
b^2-4ac = 2^2-4(3)(2)=4-24= -20
Meaning= The equation has no solutions because the discriminant is negetive, there are no xcoordinates. 

Zero Discriminant= 4x^2+4x+1=0
b^2-4ac = 4^4-4(4)(1)=16-16=0
Meaning= The equations has 1 solution. 

Hope this helps. Good luck.