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 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 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 x^2+ax+b^2=0 has real roots then which of these is a possible ordered pair (a,b) ?

Show that the equation 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 has no real roots,when a!=b

Suppose a, b, c are real numbers, and each of the equations x^(2)+2ax+b^(2)=0 and x^(2)+2bx+c^(2)=0 has two distinct real roots. Then the equation x^(2)+2cx+a^(2)=0 has - (A) Two distinct positive real roots (B) Two equal roots (C) One positive and one negative root (D) No real roots

If a,b,c are positive real numbers.then the number of real roots of the equation ax^(2)+b|x|+c=0 is

The smallest possible natural number n, for which the equation x^(2) - nx + 2014 = 0 has integral roots, is

Show that the equation 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 has no real roots when a!=b .