Question

If α and β are zeroes of quadratic polynomial 4x2 – 2x + 3, then the quadratic polynomial whose zeroes are can be 1/α and 1/β​

Answer 1

Answer:

Here,

a = 4, b = -2, c = 3

α and β are zeroes of quadratic polynomial.

Sum of Zeroes :

α + β = -b/a

= 2/4

= 1/2

Product of Zeroes :

αβ = c/a

= 3/4

Therefore,

1/α + 1/β

⇒ (α + β)/αβ

⇒ (1/2) * (4/3)

⇒ 2/3

Step-by-step explanation:

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