Math, asked by kushwahanikhil558, 23 days ago

x^2+6x+2 ke shunyank α,β hain to α/β+ β/ α ka maan gyat karna hain in hindi

Answers

Answered by harshita1663
0

Step-by-step explanation:

f(x) = x²+6x+2

given roots :

 \alpha  \: and \:  \beta

Relationship b/w zeroes and their coefficients:

 \alpha  +  \beta  =  -  \frac{b}{a} \\  \:  \:  \:  \:  \:  \:  \:  \:  \: =   \frac{ - 6}{1}  \\  \:    \:  =  - 6 \\   \\   \alpha  \beta  =  \frac{c}{a}  \\  \:  \:  \: =  \frac{2}{1}

Acq,

 \frac{1}{ \alpha }  +  \frac{1}{ \beta }  =  \frac{ \beta  +  \alpha }{ \alpha  \beta }  \\  \:  \:  \:  \:  \:  \:  \:  =  \frac{ - 6}{2}  =  - 3

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