Question

X-1/√x = 2 then x+1/√x-√5 =?

Answer 1

Answer:

x - 1 / x = - 5

squaring both sides , we get

( x - 1 / x )^2 = ( - 5) ^2

x^2 + 1 / x^2 - 2( x ) ( 1/ x) = 25

x^2 + 1/ x^2 - 2 = 25

x^2 + 1/ x^2 = 27

( x)^2 + ( 1/ x )^2 + 2 ( x ) ( 1 /x ) - 2 (x ) (1 /x) = 27

( x + 1 / x )^2 - 2 = 27

( x + 1 /x )^2 = 29

( x + 1 / x ) = √29

hence value of ( x - 1 / x ) = - 5 ,

( x + 1 /x ) = √29

x^2 + 1/ x^2 = 27

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【 hope helps 】

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