Answers

2015-05-31T20:37:59+05:30
Α+β=5
α²+β²=53
⇒(α+β)²-2αβ=53
⇒(5)²-2αβ=53
⇒-2αβ=53-25
⇒-2αβ=28
⇒αβ=-14

The required polynomial whose roots are α and β is 

x²+(α+β)x-αβ
⇒x²+5x-14

Hope this helped you!!!!!!

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  • Brainly User
2015-05-31T20:51:22+05:30
⇒(α+β)²-2αβ=53
⇒(5)²-2αβ=53
⇒-2αβ=53-25
⇒-2αβ=28
⇒αβ=-14
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