If the equation `(a-5)x^2+2(a-10)x+a+10=0` has roots of opposite sign, then find the value of `adot`

If the equation 2^(2x)+a*2^(x+1)+a+1=0 has roots of opposite sign, then the exhaustive set of real values of a is

The equation 2^(2x) + (a - 1)2^(x+1) + a = 0 has roots of opposite sing, then exhaustive set of values of a is

If the roots of the equation x^2-8x+a^2-6a=0 are real and distinct, then find all possible value of adot

If the roots of the quadratic equation 3x^(2)+2x+a^(2)-a=0 in x are of opposite signs, then a lies in the interval

Let the quadratic equation (c-5)x^2 -2cx+c-4=0 has one root in (0,2) and other root in (2,3) then find the number of intergral values of c in solution set (a) 18 (b) 12 (c) 11 (d) 10

If x^2+2a x+a<0AAx in [1,3], the find the values of adot

If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, then theta belongs to (pi/6,(5pi)/6) (b) (0,pi/6)uu((5pi)/6,pi) ((13pi)/6,(17pi)/6) (d) (0,pi)

If x=5 is the root of a equation kx^(2)-14x-5=0, then find the value of K

Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value of adot

If the sum and product of the roots of the equation ax^(2)-5x+c=0 are both equal to 10 then find the values of a and c.