You can put this solution on YOUR website! How many times does the graph of y=3x^2-4x+6 intersect with the the x axis?
calculate the "discriminate":
b^2 - 4ac
if (b^2 - 4ac) = 0 (intersects one time)
if (b^2 - 4ac) > 0 (intersects two times)
if (b^2 - 4ac) < 0 (does not intersect)
.
b^2 - 4ac
(-4)^2 - 4(3)(6)
16 - 72
-56
.
the graph does not intersect with the x-axis.