Find Solutions

VITEEE Discussion Forum › Algebra questions › Find Solutions

Given a,b,c>0, find all real solutions to the equation:

\sqrt{a+bx} + \sqrt{b+cx} + \sqrt {c+ax} = \sqrt{b-ax} + \sqrt{c-bx} + \sqrt{a-cx}

#Mathematics #Algebra

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8 Answers

13

deepanshu001 agarwal ·2009-03-17 21:35:04

x= 0 is one soln ....

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11

Mani Pal Singh ·2009-03-17 21:41:13

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341

Hari Shankar ·2009-03-17 22:09:45

find all solutions

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13

deepanshu001 agarwal ·2009-03-17 22:10:57

sir full throttle wale ka soln bata dijiye plz.z

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1

rahul1993 Duggal ·2009-03-18 11:10:49

seems a familiar question.
if x is positive LHS>RHS
if x is negative LHS<RHS
but if x=0 we get a solution which is the only one.

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33

Abhishek Priyam ·2009-03-18 11:23:33

obviously LHS and RHS curve(very rough sketch..) can meet at only one point...

so only one solution x=0

(LHS and RHS curve are not mirror images of each other about y axis...)

the curve of LHS is formed... by adding... each root term's curve in LHS.. similarly RHS...

So i think no need of a more rigorous treatment...

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rajat sen ·2009-03-19 00:46:32

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341

Hari Shankar ·2009-03-19 01:15:04

for the goiitians: FYI i am hsbhatt :D

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