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the teacher were given me ( can you post the solution )
a,b,c>0 . Prove the inequality :
1/[a.\sqrt{a+b}] + 1/[b.\sqrt{b+c}]+1/[c.\sqrt{c+a}] >= 3/(\sqrt{2abc}
the problem were unsolve in along time ago !!!!!!!!!
triangle ABC (AB<AC ) , AD is a bisector prove with all I, J on AD we have
angleJBI >angleJCI
next week , i will give the proof to my teacher ,please , !!!!!!!
very thanks to ganesh !!!!
nobody
thanks . I will be waiting for you
your proff is wrong . please help me in problem B,C
Where did they come from? I had a quick look and found I couldn't give an immediate answer
i don't understand . Why !!!!!!!!!!!!!!
are you have the answer of the problem ????
please i'm very very need !!!!!!!
can you post the answer ?
nobody can help me !!!!!!!!
A)
I is a point in triangle ABC such that angle IBA > angle ICA , angle IBC > angle ICB , BI cut AC at B' , CI cut AB at C' . PRove the : BB' < CC'
please help me i'm very thanks
and the second problem
B)
a,b,c>0 prove the equation have 1 root :
d^3 - d(ab+bc+ca) - 2abc =0 .
from the equation and x,y,z >0 . ax+by+cz=xyz . Prove the inequality
x+y+z >= 2/d . (\sqrt[(a+d)(b+d)(c+d)])
C)in assemble N ,every number is white or black so that white + black=black
prove : white + white = white
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