If the equation \( a x^{3}+3 b x^{2}+3 c x+d=0 \) has two equal roots, shew that each of them is...

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If the equation \( a x^{3}+3 b x^{2}+3 c x+d=0 \) has two equal roots, shew that each of them is equal to \( \frac{b c-a d}{2\left(a c-b^{2}\right)} \).
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