If `a and b` are positive real numbers and each of the equations `x^2+3ax+b=0 and x^2+bx+3a=0` has real roots, then the smallest value of `(a+b)` is

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

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

If a and b are positive numbers and eah of the equations x^(2)+ax+2b=0 and x^(2)+2bx+a=0 has real roots,then the smallest possible value of (a+b) is

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 a,b,c are positive real numbers, then the roots of the equation ax^(2) + bx + c =0

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then