If `(x^2+1/(16x^2))=19/2` then `(2x-1/(2x))=`

16x^(2)=8x-1

If (2x)-1/(2x)=6 then x^2+1/(16x^2)=

(16)^(1/(x-1))=2^x/2 , then find x

Statement 1: Two ellipses (x^(2))/(16)+(y^(2))/(9)=1 and (x^(2))/(9)+(y^(2))/(16)=1 are congruent.Statement 2:(x^(2))/(16)+(y^(2))/(16)=1 and (x^(2))/(9)+(y^(2))/(16)=1 have same eccentricity

If x^(4)/((x-1)(x+2))=1/(3(x-1))-16/(3(x+2))+x^(2)-x+k , then k =

If (1-y)(1+2x+4x^(2)+8x^(3)+16x^(4)+32x^(5))=(1-y^(6)) then (y)/(x)=

int1/(sqrt(1-16x^2))

Lt_(x to oo) (sqrt(3+9x^(2))+sqrt(4x^(2)-1))/(sqrt(1+16x^(2))-sqrt(9x^(2)+2))=