Let `ax^2 + bx +c = 0` is `a,b,c in R, b^2 - 4ac > 0 and `a + b + c = 0`. Then one of the roots of the quadratic equation is.

If b^(2) - 4ac gt 0, then find the nature of roots of quadratic equations ax^(2) + bx+ c =0

If a,b,c are rational,if b^(2)-4ac=0 then nature of the roots of the equation ax^(2)+bx+c=0(a!=0) are

If a,b,c are integers and b^(2)=4(ac+5d^(2)),dcN, then roots of the quadratic equation ax^(2)+bx+c=0 are

IF one root of the quadratic equation ax^2+bx +c=0 is 3-4i then a+b+c=

Let a, b, c in R be such that a + b + c lt 0, a - b + c lt 0 and c gt 0 . If alpha and beta are roots of the equation ax^(2) + bx + c = 0 , then value of [alpha] + [beta] is

If one root of the quadratic equation ax^(2) + bx + c = 0 is 15 + 2sqrt(56) and a,b and c are rational, then find the quadratic equation.

If b^2ge4ac for the equations ax^4+bx^2+c=0 then all the roots of the equation will be real if

Suppose a, b, c in R, a ne 0. If a + |b| + 2c = 0 , then roots of ax^(2) + bx + c = 0 are