If he equation `x^3+a x^2+b x+216=0` has three real roots in G.P., then `b//a` has the value equal to _____.

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 x^2-ax+a+2=0 has equal roots then 'a' will be :

If the equation 4x^(3)+5x+k=0(k in R) has a negative real root then

If the equation (b^2 + c^2) x^2 -2 (a+b) cx + (c^2 + a^2) = 0 has equal roots, then

If the equation x^(2)-(2+m)x+(m^(2)-4m+4)=0 in x has equal roots, then the values of m are

If the roots of ht cubic, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//b+1) is equal to __________.

Find the value of k if x^3-3x+k=0 has three real distinct roots.

Find the value of a if x^3-3x+a=0 has three distinct real roots.

Find the value of a if x^3-3x+a=0 has three distinct real roots.