Question

If alpha and beta are the values of the polynomial x^2-x-6 then find the value of 5 alpha+6beta +alpha beta​

Answer 1

Explanation:

If , α and β are the Zeroes of the Polynomial P(X) then it can be written as ,

=> X²- (α+β) X + (αβ)

Now comparing the polynomial f(X)=X² -X+6 with X²- (α+β) X + (αβ) we get ,

⟶(α+β) = 1

⟶αβ = 6

$</p><p>(/p)<u>(</u><u>p</u><u>)</u><u> </u>so 1/α+ 1/β</p><p>$

{\boxed{\orange{\dfrac{1}{alpha}+\dfrac{1}{\beta}=\dfrac{1}{6}}}}