The quadratic equation `ax^(2)+5bx+2c=0` has equal, roots if

The quadratic equation ax^(2)+bx+c=0 has real roots if:

a, b, c, in R, a ne 0 and the quadratic equation ax^(2) + bx + c = 0 has no real roots, then which one of the following is not true?

a,b,c in R,a!=0 and the quadratic equation ax^(2)+bx+c=0 has no real roots,then

If the sum of the roots of the quadratic equations ax^(2) + bx+c=0 is equal to the sum of the squares of their reciprocals, then be (b^2)/(ac) + (bc)/(a^2) =

If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equal to the sum of the square of their reciprocals,then (a)/(c),(b)/(a) and (c)/(b) are in

If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equal the sum of the cubes of their reciprocals, then prove that ab^(2)=3abc+c^(3) .

Assertion : 4x^(2) - 12x + 9 = 0 has repeated roots. Reason : The quadratic equation ax^(2) + bx + c = 0 have repeated roots if D gt 0 .