Math, asked by ayushig1003, 11 months ago

answer me fastt frnds​

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Answers

Answered by SumitSinghOfficial
1

Step-by-step explanation:

x²+x+1

we Have To Find the Value Of

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

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

General Quadratic polynomial

 {x}^{2}  - ( \alpha  +  \beta )x +  \alpha . \beta

compare with given equation

 \alpha  +  \beta  =  - 1

 \alpha . \beta  = 1

Adding The Value

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

Second case

  { \alpha }^{2}  +  { \beta }^{2}  =   { (\alpha  +  \beta )}^{2}  - 2 \alpha  \beta

For Motivate Me leave A Thanks

 { (\alpha  +  \beta )}^{2}  - 2 \alpha  \beta =  {( - 1)}^{2}    - 2(1)

1  -  2 =  - 1

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