Math, asked by nayanazara12, 5 hours ago

please answer the 16th and 17th question...​

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Answered by shrirampawar249
3

Answer:

 \alpha  +  \beta  =  \frac{ - b}{a}  =   \frac{ - ( - 6)}{2}  = 3 \\  \alpha  \beta  =  \frac{c}{a}  =  \frac{3}{2}  \\ ( \frac{ \alpha }{ \beta }  +  \frac{ \beta }{ \alpha } ) + 3( \frac{1}{ \alpha }  +  \frac{1}{ \beta } ) + 2 \alpha  \beta  \\  =  ( \frac{ { \alpha }^{2} +  { \beta }^{2}  }{ \alpha  \beta } ) + 3( \frac{ \beta  +  \alpha }{ \alpha  \beta } ) + 2 \alpha  \beta  \\  =  \frac{ { (\alpha  +  \beta )}^{2}  - 2 \alpha  \beta }{ \alpha  \beta }  + 3( \frac{ \alpha  +  \beta }{ \alpha  \beta } ) + 2 \alpha  \beta  \\  =  \frac{ {3}^{2} - 2( \frac{3}{2} ) }{ \frac{3}{2} }  + 3( \frac{3}{ \frac{3}{2} } ) + 2( \frac{3}{2} ) \\  =  \frac{9 - 3}{ \frac{3}{2} }  + 3 \times 2 + 3 \\  =  \frac{6}{3}   \times 2 + 6 + 3 \\  = 4 + 9 \\  = 13

Answered by diaexol7
2

HERE IS A SMALL ANSWER FOR YOU..

HOPE ITS HELPFUL...

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