How do you find the value of the discriminant and state the type of solutions given #8b^2-6n+3=5b^2#?
Assumption: The only variable is
In your case
The discriminant part is the
So the discriminant is 0
However, if the discriminant is 0 as in this case you have:
giving a single value solution. Consequently the x-axis behave like a tangent to the curve at the min/max point.
So the curve does not actually cross the axis but it more like the two coincide.
However; some people argue that their is always 2 solution but the condition we have hear has the sate of 'duality'.
I am guessing this means that the two solutions happen to coincide thus look as though there is one. This is higher maths 'stuff'.