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(b) Prove that if \(2a^3+27c=9ab\) then the roots of \(x^3 + ax^2 + bx + c = 0\) form an arithmetic sequence.

 Mar 14, 2020
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Solution sketched out as follows:

 

(Strictly, this proves that if the roots are in arithmetic sequence then the condition is true.)

 Mar 14, 2020

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