If `alpha,beta` are the roots of the equation `a x^2+b x+c=0,` then the value of `aalpha^2+c//aalpha+b+(abeta^2+c)//(abeta+b)` is `(b(b^2-2a c))/(4a)` b. `(b^2-4a c)/(2a)` c. `(b(b^2-2a c))/(a^2c)` d. none of these

If alphaa n dbeta are the roots of this equation x^2-a(x-1)+b=0 then find the value of 1//(alpha^2-aalpha)+1//(beta^2-abeta)+2//a+bdot

If alphaa n dbeta are the roots of x^2-a(x+1)-b=0 then find the value of 1//(alpha^2-aalpha)+1//(beta^2-abeta)-2//a+bdot

If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " then "b^(2)-c =

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+2c=0 where a ,b ,c in R

If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, show that 2//b=1//a+1//c dot

If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+2c=0w h e r ea ,b ,c in Rdot

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

If the roots of the equation a x^2+b x+c=0 are of the form (k+1)//ka n d(k+2)//(k+1),t h e n(a+b+c)^2 is equal to (a) 2b^2-a c b. a 62 c. b^2-4a c d. b^2-2a c

If alphaa n dbeta are roots of the equation a x^2+b x+c=0, then the roots of the equation a(2x+1)^2-b(2x+1)(x-3)+c(x-3)^2=0 are a. (2alpha+1)/(alpha-3),(2beta+1)/(beta-3) b. (3alpha+1)/(alpha-2),(3beta+1)/(beta-2) c. (2alpha-1)/(alpha-2),(2beta+1)/(beta-2) d. none of these