Find the minimum value of `(x_1-x_2)^2+((x_1^2)/20-sqrt((17-x_2)(x_2-13)))^2` where `x_1 in R^+,x_2 in (13,17)`.

Find the minimum value of (x_1-x_2)^2+(sqrt(2-x_1^2)-9/(x_2))^2 where x_1in(0,sqrt2) and x_2inR^+

Minimum value of (x_(1)-x_(2))^(2)+(sqrt(2-x_(1)^(2))+x_(2)-8)^2 ,where x_(1)in[-sqrt(2),sqrt(2)] and x_(2)in R is

Find the domain of the function : f(x)=(1)/(sqrt(log_((1)/(2))(x^(2)-7x+13)))

If x be real, then the minimum value of x^(2)-8x+17 is

The minimum value of [x_(1)-x_(2))^(2)+(12-sqrt(1-(x_(1))^(2))-sqrt(4x_(2))]^((1)/(2)) for all permissible values of x_(1) and x_(2) is equal to a sqrt(b)-c where a,b,c in N, the find the value of a +b-c

The minimum value of |x-1|+|x-2|+...+|x-10|,x in R is

If x is real,then the minimum value of the expression x^(2)-8x+17 is

The minimum value of 3x^(2)+2xy+y^(2)=2x=6y+13 where x,y in R, is