if Alfa and beta are the zero of the quardiatic polynomial x^-x-4 find the value of 1/Alfa+1/beta-alfa beta
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- 1 / 4.
Correct QuestioN :
If α and β are the zero of the quardiatic polynomial x² - x - 4. Find the value of 1/α + 1/ β
SolutioN :
Let,
- Both zeros be α and β.
★ Sum of Zeros :
↣ α + β = - b/ a.
↣ 1 / 1.
↣ 1.
★ Product of Zeros.
↣ α * β = c / a.
↣ - 4.
Now, Let Find.
↣ 1/α + 1/ β = α + β / α * β
↣ - 1 / 4.
Therefore, the value required is - 1/ 4.
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