Math, asked by SagarDendeva, 1 year ago

if x-1/x =5 , find the value of x^2+1/x^2

Answers

Answered by bhargav406
1
answer is obtained as above
Attachments:
Answered by hukam0685
3

x -  \frac{1}{x}  = 5 \\ take \: square \: both \: side \\ ( {x -  \frac{1}{x} )}^{2}  = 25 \\ open \: identity \\  {x}^{2}  - 2 +  \frac{1}{ {x}^{2} }  = 25 \\  {x}^{2}  +  \frac{1}{ {x}^{2} }  = 25 + 2 \\ {x}^{2}  +  \frac{1}{ {x}^{2} } = 27

SagarDendeva: thank u
hukam0685: yes (a-b)^2= a square -2ab+ b square
SagarDendeva: samaj nahi aaya
hukam0685: ? identity
hukam0685: it is clearly written
SagarDendeva: ( a-b) ^2 = a^2+b^2 +2ab
SagarDendeva: thank u
hukam0685: its -2ab
hukam0685: not +2ab
SagarDendeva: i know galti se likh diya
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