If `a,b,c` are odd integere then about that `ax^2+bx+c=0`, does not have rational roots

If c<0 and ax^(2)+bx+c=0 does not have any real roots,then

If a, b, c are odd integers, then the roots of ax^(2)+bx+c=0 , if real, cannot be

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

Let a and c be prime number and b an integer. Given that the quadratic equation ax^(2)+bx+c=0 has rational roots, show that one of the root is independent of the co-efficients. Find the two roots.

Let a,b,c in R such that the equation ax^(2)+bx+c=0 has two distinct rational roots,then the equation,ax^(2)+(2a+b)x+(b+c)=0 has

Given that ax^(2)+bx+c=0 has no real roots and a+b+c 0 d.c=0

If a+b+c=0.a!=0,a,b,c in Q, then both the roots of the equation ax^(2)+bx+c=0 are (Q is the set of rationals no )

If a andc are odd prime numbers and ax^(2)+bx+c=0 has rational rats,where b in I, prove that one root of the equation will be independent of a,b,