Math, asked by rojaranirojarani10, 8 months ago

I will follow you...if you answer this​

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Answered by JustinSeagull2005
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Please find the attachment ..

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Answered by anshikaverma29
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If alpha beta gamma are the zeros of the polynomial f(x)=ax^3+bx^2+cx+d.\\\\

Then ,

\alpha +\beta+\gamma =-b/a

\alpha \beta +\beta \gamma+\gamma\alpha =c/a

\alpha \beta \gamma=-d/a

Now ,

\frac{1}{\alpha}+\frac{1}{\beta}+\frac{1}{\gamma}   =\frac{\alpha\beta +\beta\gamma+\gamma\alpha }{\alpha\beta\gamma}

\frac{1}{\alpha}+\frac{1}{\beta}+\frac{1}{\gamma}   =\frac{c/a}{-d/a}

\frac{1}{\alpha}+\frac{1}{\beta}+\frac{1}{\gamma}   =-c/d

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