If the graph of y=x and y=-(x^2/5)+(5/x) intersects at p and q, form an equation with integer coefficients such that the solution will be p and q. ( Do I use substitution)?

Question

If the graph of y=x and y=-(x^2/5)+(5/x) intersects at p and q, form an equation with integer coefficients  such that the solution will be p and q.  ( Do I use substitution)?

anonymous · Answer

u need to solve these equations simultaneously i.e use y=x in the other equation as x=-(x^2/5)+(5/x)

anonymous · Answer

i arrive at x=5/sqrt root 6

anonymous · Answer

a small confusion... is it (x^2)/5   or  x^(2/5)   ???

anonymous · Answer

(x^2)/5

anonymous · Answer

depending on the highest power of x the no of solutions(roots)  will be found..
rearranging your equation x^2=-(x^3/5)+(5) it is found that the highest power of x is 3 so after solving you should get 3 solutions..

anonymous · Answer

ok thx. I will try to do on my own now:D thx