alpha and beta are the zeros of the polynomial P of x is equal to x square - 3 x + a square find a if it is given that Alpha square plus beta square is 7 by 4
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Answer:
= - 11/8
Step-by-step explanation:-
The polynomial is p(x) = 3x² - 5x + 6
Since, α and β are the zeros of p (x),
α + β = - (- 5)/3
⇒ α + β = 5/3 ...(i)
αβ = 6/3
⇒ αβ = 2 ...(ii)
Now, α/β + β/α
= (α² + β²)/(αβ)
= {(α + β)² - 2αβ}/(αβ)
= {(5/3)² - (2 × 2)}/(2)
= (25/9 - 4)/2
= (25 - 36)/(4 × 2)
= - 11/8
Read more on Brainly.in - https://brainly.in/question/10467483#readmore
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