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

If alpha and beta are the roots of ar ax^(2) + bx + c = 0 from the equation where roots are (1)/(alpha) and (1)/(beta)

If a, b, c are in GP , then the equations ax^2 +2bx+c = 0 and dx^2 +2ex+f =0 have a common root if d/a , e/b , f/c are in

If a and b are odd integers then the roots of the equation 2ax^(2)+(2a+b)x+b=0(ane0) are

If aa n dc are odd prime numbers and a x 62+b x+c=0 has rational roots , where b in I , prove that one root of the equation will be independent of a ,b ,cdot

If alpha" and "beta are the roots of the equation ax^(2)+bx+c=0, (c ne 0) , then the equation whose roots are (1)/(a alpha +b)" and "(1)/(a beta +b) is

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

If c is positive and 2a x^2+3b x+5c=0 does not have aby real roots, then prove that 2a-3b+5b>0.

If 2−i is one root of the equation ax^2+bx+c=0, and a,b,c are rational numbers, then the other root is ........

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

IF tan 18^@ and tan 27^@ are the roots of ax^2 - bx +c=0 then