Question

If x^2+1/x^2=34 then find value of x-1/x

Answer 1

Answer:

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Answer 2

Answer:

let x^2=t

then , t  +  1/t  =34

add 2 on both sides

t  + 1/t  +2 =34+2=36

(t  +  1/t)^2 = t + 1/t +2

(t + 1/t)^2=(6)^2

t  +  1/t  =  6

t^2 + 1 -6t =0

t^2 - 3t -3t +1 =0

t(t-3)-1(t-3)=0

(t-1)(t-3) = 0

t=1              ;     t=3

x^2 =1         ;     x^2 =3

x= +1,-1             ;      x= +sqrt.3 ,- sqrt.3

x-1/x                    ; x-1/x

      = +1-1/1=0     ;       = +sqrt.3-1/sqrt.3

      = -1-1/1=-2     ;       = -sqrt.3-1/-sqrt.3

Step-by-step explanatio

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