Here is one more question on quadratic equations.
Assume that p is a real number.Find the possible values of p in order to have real solutions for.
I shifted x^1/3 to RHS and cubed both sides and tried to simplify it to a 2 degree equation so that I could apply D≥0 for real roots, but was unsuccessful in making the equation quadratic.
the question I easily made:-
#3 normals to a parabola y^2 =4ax meet at (h,k).Then show that h>4a.
The question I have tried:-
#Find the locus of point such that 2 of the 3 normals drawn from them to the parabola coincide.
This is what i tried;
Now what to do after this.
This is what I don't know where to start.
#Find the locus of the vertices of the family of parabolas