If AM of the number `5^(1+x) and 5^(1-x)` is 13 then the set of possible real values of x is -

If the difference between the roots of the equation x^(2)+a x+1=0 is less than sqrt(5) , then the set of possible values of a is

If the equation ((x)/(1+x^(2)))^(2)+a((x)/(1+x^(2)))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/(2),0) (b) (oo,-(13)/(2))((-13)/(2),(13)/(2))(d)((13)/(2),oo)

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

If lim_(x->a) (x^5-a^5)/(x-a)=5 , then find the sum of the possible real values of a.

If lim_(x->a) (x^5-a^5)/(x-a)=5 , then find the sum of the possible real values of a.

If |x^(2)-4x-5|+|x^(2)-x-2|=3|x+1| then set of all real values of x is

sin theta = x + 1/x is possible for some real values of x.

If lim_(x rarr a) (x^(5)-a^(5))/(x-a)=5 , then find the sum of the possible real value of a.

If x,y are positive real numbers and 3x+4y=5 , then the lagest possible value of 16x^(2)y^(3) is