If the equation ax^3 + 3b x^2 + 3 cx + ...

If the equation ` ax^3 + 3b x^2 + 3 cx + d = 0` and ` a x^2 + 2bx + c = 0` have a common root then `(bc - ad)^2/((b^2 - ac) (c^2 - bd))` is :

Similar Questions

Explore conceptually related problems

IF ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common root , then b+c=

If the equations x^2 + 2x + 3 = 0 and ax^2 + bx + + c = 0 have common root, then a : b : c is _____

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equation x^(2 )+ 2x + 3 = 0 and ax^(2) +bx+c=0, a, b, c in R , have a common root, then a : b:c is

If the equations ax^2 + bx + c = 0 and x^3 + x - 2 = 0 have two common roots then show that 2a = 2b = c .

If the equation : x^(2 ) + 2x +3=0 and ax^(2) +bx+ c=0 a,b,c in R have a common root then a: b: c is :

If the equation ax^(3)+3bx^(2)+3cx+d=0 anda x^(2)+2bx+c=0 have common root,prove that (bc-ad)^(2)=4(ac-b^(2))(bd-c^(2))