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Guys, We can solve it as follows:-
Taking the equation and squaring on bothe sides then
(x⁹⁹+1/x⁹⁹)²=169
Applying (a+b)²=(a-b)²+4ab we get
(x⁹⁹-1/x⁹⁹)²+4×x⁹⁹×1/x⁹⁹=169
(x⁹⁹-1/⁹⁹)²+4=169
By subtracting 4 from both sides we get
(x⁹⁹-1/x⁹⁹)²=165
By Rooting both sides we get
x⁹⁹-1/x⁹⁹=√165
So his method is right and we get 4 from applying all the identity

lotlufs
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Those who cant understand

A+b whole squre is a2plus b2 plus 2ab thus substitute a2 plus b2 by a-b whole square thus we get to another 2ab add them you get 4ab and so on take a pen copy and solveit by yourselves you will get it

ajadbhai
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Take x^99 as any other variable say y, apne aap solve kr luge

nishantchauhan
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13 ka square 169- hai+me hoga 169+2=171

binaykumar
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Concept se krlo 2 min m ho jayenge trick ke piche mt bhago

thegameoflife
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Bhai logic to batao.. kis logic k basis pe steps kia?

laggingsniper
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Lol.., consider x⁹⁹=a then (a+ 1/a)²= 169
a²+1/a²=169 -2

(a- 1/a)²=y²
169-2-2=y²
y=root under

Abhinab_Kalita
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Those who don't know this problem could be done by Am greater or equal to Gm

priyadarshangarg
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Agar X ke power me even no. Hua tb bhi aise hi krenge? Jaise X^98

ragnarlothbrok
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Bro cube root wale question me square root ka formula laga krr aspirants ko ullu MTT banao yrr😢

vaibhavandguitar
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The correct ans for this problem is √11

ashutoshsingh
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Sir Ye 4 kanha se aya sir please bataiyye sir 🙏🙏🙏

hemantpatelmohanpatel
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Me from 11th class done it with minute with proper method 🤗🤗🤗🤗🤗🤗

BknowledgeA