Question

Solve the equation (eqn coming soon)
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ANSWER = {4/13,9/13}

Answer 1

drum roll....

Answer 2

\[\sqrt{\frac{ 1-x }{ x }}+\sqrt{\frac{ x }{ 1-x }}=\frac{ 13 }{ 6 }\]

Answer 3

anyone got it

Answer 4

long method...

Answer 5

maybe

Answer 6

squaring twice.....

Answer 7

common goku release your spirit bomb on this question :D

Answer 8

ok, lets go for long method :P
square both sides and tell me what u get ?

Answer 9

wait wait wait

Answer 10

oh, wait. its simple. u need to square only once!

Answer 11

square one and tell me what u get......

Answer 12

*once

Answer 13

oops

Answer 14

\[u^2 = \frac{1-x}{x}\]

Answer 15

what happened?

Answer 16

lol. square the equation

Answer 17

oh

Answer 18

can we do this y + 1/y = 13/6

Answer 19

yeah, that works

Answer 20

do what hartnn suggests

Answer 21

I believe that it is faster

Answer 22

what is faster?

Answer 23

I think the squaring is faster..

Answer 24

ok

Answer 25

if we square the left side it will become a formula (a+b)^2=a^2+2ab+b^2

Answer 26

by squaring one side it will remove the roots isn't it @hartnn

Answer 27

yup

Answer 28

is'nt it a tuff question

Answer 29

no

Answer 30

ok

Answer 31

just algebra

Answer 32

@hartnn ,@Miyuru sorry just a little help so when there are sqaurroots and fractions with undefined terms like x or/and y in denominator or for radical is indifferent so than what will be the first step --- condition,restriction what we need to doing for can sure existing this radical and fractions so for not being these all undefined


please make it before all !!!


RIGHT this in this way please ???

Answer 33

so Koli this is the first step ALLWAYS that make the condition for denominator and in this case forradical that for what value of x not can being equal zero NEVER

OK ?

Answer 34

ok

Answer 35

so than in this case x not can being equal 0 and ???

Answer 36

can we suppose the whole root thing in one variable like y

Answer 37

this will make it easy

Answer 38

and the other root will be like 1/y or something

Answer 39

this bit difficult

Answer 40

the question?

Answer 41

ok i understand it but i have learned in my schoole that hwen there is an exercise with radical and fractions ALLWAYS the first step is necessary being to make the existing conditions for radical and fraction so for these never not being undefined

ok ?

Answer 42

yes, but the radical is defined at both of the roots which are given as answers

Answer 43

For me we have taught to square to remove the roots

Answer 44

me too

Answer 45

@Miyuru ok i understand your message but indifferent what you like to do and how the first step i think that need being these because this exercise was wrote hence and just when these conditions are satisfied so just than this radical and fractions will be defined and just in this case you can solve this equation

sorry but i think in this way ,this is my opinion !!!

Answer 46

plz anybody write the steps on how to do this question i am getting confused

Answer 47

(1-x)/x +x/(1-x) +2 = 169/36
did u get this after squaring?

Answer 48

yes got this

Answer 49

multiply 36x(1-x) on both sides

Answer 50

done

Answer 51

simplify to get a quadratic in x

Answer 52

\[\frac{ 1-x }{ x }+\frac{ x }{ 1-x }+2*\frac{ 36x }{ 1-x }=\frac{ 169 }{ 1-x }\]

Answer 53

stuck here

Answer 54

??
u did not multiply 36x(1-x) to each term!

Answer 55

\[\frac{ 1-x }{ x }+\frac{ x }{ 1-x}+2*36x(1-x)=\frac{ 169x }{ 1-x }\]

Answer 56

what is 36x(1-x) * (1-x) / x ??

Answer 57

u said multiply 36x(1-x) to both sides

Answer 58

woah!!!!!!!!!

Answer 59

at last your typing is finished and got the whole question solved

Answer 60

@shubham.bagrecha your algebra is impressive

Answer 61

yes koli this is true but we here in openstudy wann learning people how need solving exercises,problems and not just adding the right answer

OK ?

dont forget it please

@shubham.bagrecha ATTENTION !!! please

Answer 62

sorry @jhonyy9 but i was confused in this type,u know i try to do all questions by myself

Answer 63

ok i understand it but these words i have wrote firstly to @shubham.bagrecha

Answer 64

ok

Answer 65

jhonny i know that.

Answer 66

so wait

Answer 67

satisfied?

Answer 68

koli - so hope that you have understood it right all ,correct

and just a little point i like to courage you that your first step with (1-x)/x =y was right sure

- my opinion

- so if you continue it on this way you have got these results too easy exactly the same like @shubham.bagrecha

just COURAGE Koli ,OK. ???