Evaluate : `x + 1/x= 4` , ` x^2 + 1/x^2`

Evaluate (x^2 - sqrt(1 - x^2) )^4 + (x^2 + sqrt( 1- x^2) )^4

If x - 1/x = 3 , find the value of : ( a ) x^2 + 1/x^2 ( b ) x^4 + 1/x^4

Evaluate lim_(x to 2) (x^(2) - 4) [(1)/(x + 2) + (1)/(x - 2)]

Find the value of ( 1 + 1/x ) ( 1 + 1/( x+1 )) ( 1 + 1/( x+2 ) ) ( 1 + 1/( x+3 )) is : (1) 1 + (1/(x + 4 )) ( 2 ) x +4 ( 3 ) 1/x ( 4 ) ( x+4 )/x

If x-1/x=4 then evaluate x^2+1/x^2

If x^(2)+4x-1=0 and x is positive then find the value of a.x+(1)/(x) b.) x^(2)+(1)/(x^(2))

Find the value of : ( x^(1/2 ) + x^(-1/2 ) ) times ( x^(1/4 ) + x^(-1/4 ) ) times ( x^(1/8 ) + x^(-1/8 ) ) times ( x^(1/8 ) - x^(-1/8 ) ) ( a ) x + 1/x ( b ) ( x^2 -1 )/x

Evaluate: lim_(x rarr 1) [(x^(4)-2x^(3)-x^(2)+2x)/(x-1)] .