Exactly one root of the equation `x^(2)-(a+3)x+4=0` lies between 3 and 4 for `a epsilon(m,n)` then `[m+n]` is , (where [ .] represents greatest integral function)

Exactly one root of the equation x^(2)-(a+3)x+4=0 lies between 3 and 4 for a in(m,n) then [m+n] is (where [.] represents greatest integral function)

If both roots of the equation x^(2) -2ax+a^(2)-1=0 lie between -3 and 4 ,then [a] is/are , where [ ] represents the greatest ineger function

If number of integeral values of 'm' for which exactly one root of the equation. x^(2)+3mx+m^(2)-4=0 lies on the interval (-6, 2) is k. Then [(k)/(5)] = (where [.] denote greatest integer function).

The solution set of the equation [x]^(2) +[x+1] -3=0, where [.] represents greatest integeral function is :

if exactly one root of equation x^(2)-(p+1)x-p^(2)=0 lie between 1 and 4 then the number of integral value of p is -

The equation x^(3)-6x^(2)+9x+lambda=0 have exactly one root in (1,3) then [lambda+1] is (where [.] denotes the greatest integer function)

one root of x^(3)3x^(2)+4x-1=0 lies between

Complete solution of the inequality 3[3-x] + 4[x-2] >=0 is (where [ ] represents the greatest integer function)

If both roots of x^(2)-2ax+a^(2)-1=0 lies in (-2, 1) then [a] , where [.] denotes greatest integral function is

For what values of a exactly one root of the equation 2^(a)x^(2)-4^(a)+2^(a)-1=0 , lies between a and 2.