Math, asked by jayswaminarayan1983, 11 months ago

if alfa,bita,gema is zeros of polynomials ax³+bx²+cx+d so find 1/(alfa)(bita)+1/(bita)(gema)+1/(gema)(alfa)=​

Answers

Answered by rishabh1894041
2

Step-by-step explanation:

 \alpha  \: , \beta  \:  ,\gamma  \: is \: zeros \: of \: the \: given \:  \\ polynomial \:   \:  \: then \\  \\  \alpha  +  \beta  +  \gamma   =  -  \frac{b}{a}  \\  \alpha  \beta  \gamma  =  -  \frac{d}{a}  \\  \\  \frac{1}{ \alpha  \beta }  +  \frac{1}{ \beta  \gamma }  +  \frac{1}{ \alpha  \gamma }  =  \frac{ \alpha  +  \beta  +  \gamma }{ \alpha  \beta  \gamma }  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =   \frac{b}{d}  \\  \\  \\ hope \: it \: will \: help \: you.....

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