The problem that I've been trying to figure out for the last couple hours:
When the parabola y = x^2 - a(x+1) +3 intersects the x-axis at one point,
then a= 1. ____ or 2. _____
Of course you set the y = 0
then while solving it comes to a point where I have to use the quadratic formula and comes out to:
a +- sqrt{(a+6)(a-2)}
2
After that, I don't know what to do. How do I apply the statement 'intersects the x-axis at one point' to the formula?
Ohh I see. Thank you very much
But just for a clearer understanding for future problems. Why is it that when a parabola intersects only one point on the x-axis it means its discriminant = 0?
Is this also true for horizontal axis parabolas when only hitting the y-axis once?