For the equation, `3x^3+ax^2+bx-15=0`, if one of the roots is `2+i`, and `a,b in R`, then the value of `a+3b=`

If the equation ax^(2) + bx + 6 = 0 has real roots, where a in R, b in R , then the greatest value of 3a + b, is

If the equation x^(4)+ax^(3)+2x^(2)+bx+1=0 has at least one real root (a ,b in R) then the minimum value of a^(2)+b^(2)

If one root of the equation ax^(2)+bx+c=0 be the square of the other, and b^(3)+a^(2) c+ac^(2)=kabc , then the value of k is

If one root of the equation ax^2+bx+c=0 be the square of the other,and b^3+a^(2)c+ac^2=k abc,then the value of k

If one root of the equation ax^2+bx+c=0 be the square of the other,and b^3+ a^(2)c+ac^(2)= kabc then the value of k is

If the equation x^(3)+ax^(2)+bx+216=0 has three roots in GP then b/a is equal to

If the equation ax^(2) + 2 bx - 3c = 0 has no real roots and (3c)/(4) lt a + b , then

If ax^(2)+bx+6=0 does not have two distinct real roots, a in R and b in R , then the least value of 3a+b is

In the equation, ax^2+bx+c=0 , a,b and c in Z , if 3+i is a root of the equation, then value of a+b+c=?

If the equations x^(2)-bx+3=0 and x^(2)-2bx+15=0 has one root common then the value of b is ?