Math Is Fun Forum

yes I solved it now. Thanks.

here comes another question:-

Got it but with patience.

thank you math9maniac and bobbym.

well I came up with the same solution yesterday as olinguito.
It was quietly easy.
Thanks for helping me out.

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.
Pls help.

oh yes.

no doubt about it.

Question.
Find the number of 7 letter words that can be formed using the letters of the word SUCCESS so that the two C are together but no two S are together?

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

I  meant conic sections.
my query was that how can I analyze the problems based on conic sections efficiently?

Let

be squares such that for each n≥ 1, the length of a side of

equals the length of a diagonal of

.If the length of the side of

is 10 cm, then for which of the following values of n is the area of

less than 1 sq. cm.