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)

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)

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 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)

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 -

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

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

Let a,b,c be real numbers such that a+b+c=6 and ab+bc+ca=9, If exactly one root of the equation x^(2)-(m+2)x+5m=0 lies between minimum and maximum value of c , then find the number of integral values of m .

If 2 lies between the roots of the equation t ^(2) - mt +2 =0,(m in R) then the value of [((2 |x|)/(9+x ^(2)))^(m)] is: (where [.] denotes greatest integer function)

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