Questions asked by Rorochevre

• Back to user's profile
• Let #M# be a point and #c# a circle. #M# doesn't belong to the #c#. Let #A# and #B# be points on #c#. #AM# has to be tangent to #c# and #BM# must cut #c# in a point #C#. How can I prove that #(d(A;M))^2 = d(B;M) * d(C;M)# ? (d is a distance function)
  
• How can I find the length of a side of this regular star-sharped pentagon inscribed in a circle with a radius of 25 cm ? (see details for image)
  
• True or False ? If #2# divides #gcf(a,b)# and #2# divides #gcf(b,c)# then #2# divides #gcf(a,c)#
  
• Prove that #deg( frac(f(x))g(x) * frac(F(x))(G(x)) ) = deg( frac(f(x))g(x)) + deg( frac(F(x))(G(x)))# ( #deg(p(x))# means the degree of the polynomial #p(x)# ) ?
  
• Solve this inequality? #(x+1)^2 - abs(x-2) >= 0#
  
• How can I prove that #QQ# is incomplete by using the fact that #RR# is archimedean ?
  
• Prove using the #epsilon-delta# method that #lim_(n->oo)= (2n)/(n^2+1) = 0# ?
  
• Prove using the #epsilon-delta# method that #lim_(n->oo) (2n^2+1)/(7n^2+n+5) = 2/7# ?