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

The roots of the equation x^(2) - 8x + 12 = 0 are ………… .

Find the real roots of the equation . x^2+5|x|+6=0

The smallest value of k, for which both the roots of the equation, x^2-8kx + 16(k^2-k + 1)=0 are real, distinct and have values at least 4, is

Find all possible values of (x^2+1)/(x^2-2) .

If the equation 2x^2+k x y+2y^2=0 represents a pair of real and distinct lines, then find the values of kdot

Find how many roots of the equations x^4+2x^2-8x+3=0.

If x^2+2ax+a lt 0 AA x in [1, 2] then find set of all possible values of a

If the equation x^4- λx^2+9=0 has four real and distinct roots, then lamda lies in the interval

If aa n db are positive numbers and eah of the equations x^2+a x+2b=0a n dx^2+2b x+a=0 has real roots, then the smallest possible value of (a+b) is_________.

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