If both roots of `(2a-4)9^x-(2a-3)3^x+1=0` are non-negative then range of `a` is

If both roots of x^(2)-(k-3)x+k=0 are greater than 2, then the range of k is

If both roots of the equation x^(2)-(m+1)x+(m+4)=0 are negative then m equals

If two roots of x^(3)7x^(2)+4x+12=0 are in the ratio 1:3 then the roots are

If the two roots of 9x^(3)+24x^(2)+13x+12x+2=0 are equal then the roots are

If the Quadratic Equation x^(2)-2(m-2)x+m^(2)-3=0 has both roots negative then range of m is

If two roots of 4x^(3)-12x^(2)+9x-2=0 are equal then the roots are

If two roots of 2x^(3)-11x^(2)+12x+9=0 are equal then the roots are

If the Quadratic Equation x^(2)-2(m-2)x+m^(2)-3=0 has both roots negative then range of 'm' is

If x^(2)+2(a+1)x+9a-5=0 has only negative roots then a

Equation x^4ax^3+bx^2+cx+1=0 has real roots (a,b,c are non-negative). Minimum non-negative real value of a is