Question

Determine the number and type of solutions for x^2 + 5x + 6 = 0.

Answer 1

\[x^2+5x+6=0\]
a=1
b=5
c=6

Answer 2

\[b^2-4ac=25-4(1)(6)=25=24=1\]

Answer 3

Discriminant is positive. How many times does it touch the x axis?

Answer 4

Whoops. 25-24

Answer 5

So yes, with a positive discriminant there would be two "real" solutions. :)

Answer 6

since the value of the descrimant >0 and a square number... there are two distinct rational roots