If roots of `ax^(2)+bx+c=0` are `alpha,beta` and roots of` Ax^(2)+Bx+C=0` are `alpha+k,beta+k `.then prove that `((B^(2)-4AC))/((b^(2)-4ac))=(A/a)^(2)`

If the roots of ax^(2) + bx + c are alpha,beta and the roots of Ax^(2) + Bx + C=0 are alpha- K,beta-K , then (B^(2) - 4AC)/(b^(2) - 4ac) is equal to -

If alpha, beta are the roots of ax^(2)+2bx+c=0 and alpha +delta, beta + delta are those of Ax^(2)+2Bx+C=0 , then prove that (b^(2)-ac)/(B^(2)-AC)= ((a)/(A))^(2)

If the roots of the equation ax^(2)+bx+c=0(a!=0) be alpha and beta and those of the equation Ax^(2)+Bx+C=0(A!=0) be alpha+k and beta+k .Prove that (b^(2)-4ac)/(B^(2)-4AC)=(a/A)^(2)

If the roots of the equation ax^(2)+bx+c=0(a!=0) be alpha and beta and those of the equation Ax^(2)+Bx+C=0(A!=0) be alpha+k and beta+k .Prove that (b^(2)-4ac)/(B^(2)-4AC)=(a/A)^(2)

If the roots of the equation ax^(2)+bx+c=0(a!=0) be alpha and beta and those of the equation Ax^(2)+Bx+C=0(A!=0) be alpha+k and beta+k .Prove that (b^(2)-4ac)/(B^(2)-4AC)=(a/A)^(2)

If the roots of the equation ax^(2)+bx+c=0(a!=0) be alpha and beta and those of the equation Ax^(2)+Bx+C=0(A!=0) be alpha+k and beta+k .Prove that (b^(2)-4ac)/(B^(2)-4AC)=(a/A)^(2)

If the roots of the equation ax^(2)+bx+c=0(a!=0) be alpha and beta and those of the equation Ax^(2)+Bx+C=0(A!=0) be alpha+k and beta+k .Prove that (b^(2)-4ac)/(B^(2)-4AC)=(a/A)^(2)

If alpha,beta are the roots of ax^(2)+bx+c=0,(a!=0) and alpha+delta,beta+delta are the roots of Ax^(2)+Bx+C=0,(A!=0) for some constant delta then prove that (b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2))

If alpha,beta are the roots of ax^(2)+2bx+c=0 and alpha+delta,beta+delta be those of Ax^(2)+2Bx+C=0 then prove that (b^(2)-ac)/(B^(2)-AC)=((a)/(A))^(2)

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 and alpha+delta,beta+delta are the roots of the equation Ax^(2)+Bx+C=0 then prove that (b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2)) for some constant value of delta