`sqrt(7-(3-5x)/2)=sqrt((1-7x)/3)`

The number of solutions for sqrt(5x+7)-sqrt(3x+1)=sqrt(x+3) is:

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))

int_(0)^(7)(sqrt(7-x))/(sqrt(x)+sqrt(7-x))dx = (a) 1 (b) (7)/(2) (c) 5 (d) 7

Solve :sqrt(2x+7)+sqrt(3x-18)=sqrt(7x+1)