Question

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 ​

Answer 1

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

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