Find the condition on a , b ,c ,d such t...

Find the condition on `a , b ,c ,d` such that equations `2a x^3+bx^2+c x+d=0` and `2ax^2+3b x+4c=0` have a common root.

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The correct Answer is:

`=(9)/(2)(bd+4c^(2))(b^(2)-ac)`

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