[" (iii) "sqrt(x-6)-sqrt(10-x)>=1],[" (iv) "x^(12)-x^(9)+x^(4)-x+1>0]

sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

Prove that the following equations has no solutions. (i) sqrt((2x+7))+sqrt((x+4))=0 (ii) sqrt((x-4))=-5 (iii) sqrt((6-x))-sqrt((x-8))=2 (iv) sqrt(-2-x)=root(5)((x-7)) (v) sqrt(x)+sqrt((x+16))=3 (vi) 7sqrt(x)+8sqrt(-x)+15/(x^(3))=98 (vii) sqrt((x-3))-sqrt(x+9)=sqrt((x-1))

sqrt((x)/(1-x))+sqrt((1-x)/(x))=(13)/(6)

sqrt((x)/(1-x))+sqrt((1-x)/(x))=(13)/(6)

Find the domain of f(x) where , f(x)=sqrt(x^(12)-x^(9)+x^(4)-x+1)

The exhaustive domain of f(x)=sqrt(x^(12)-x^(9)+x^(4)-x+1) is

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these