If the quadratic equation `a x^2+b x+6=0` does not have real roots and `b in R^+` , then prove that `a > m a x{(b^2)/(24),b-6}`

If the equation ax^(2)+bx+c=0 does not have 2 distinct real roots and a+c>b, then prove that f(x)>=0,AA x in R

If the equation x^2-b x+1=0 does not possess real roots, then -3 2 (d) b<-2

If a,b,c in R and the quadratic equation x^(2)+(a+b)x+c=0 has no real roots 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

If (b - 6) is one root of the quadratic equation x^2 - 6x + b = 0 , where b is an integer, then what is the maximum value of b^2 ?

If the roots of the quadratic equation (a-b) x^(2) + (b - c) x + (c - a) =0 are equal , prove that b +c = 2a

If a,b in R and ax^(2)+bx+6=0,a!=0 does not have two distinct real roots,then:

If one root of the quadratic equation (a-b)x^(2)+ax+1=0 is double the other root where a in R, then the greatest value of b is

For the equation |x^(2)|+|x|-6=0, the sum of the real roots is 1( b) 0(c)2 (d) none of these

If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b) have a common root, the find the numeical value of a +b.