Question

Q. 1 if α and β are the zeroes of x²+x+1 then find 1÷α +1÷β .

Q.2 find a quadratic polynomial whose zeroes are x²÷3 - 5x + 3÷2.

Answer 1

Given polynomial is x²+x+1

Sum of the roots, α+β = -b/a = -1
Product of the roots αβ = c/a  = 1

$\frac{1}{ \alpha} + \frac{1}{ \beta}$
$\frac{\alpha + \beta}{ \alpha\beta}$

= -1

Answer 2

Answer:

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Step-by-step explanation: