Question

If a and 1 /a are the zeroes of the polynomial 3x^2+x+ k-2. Find k

Answer 1

Answer:

• So the value of k is 5

Step-by-step explanation:

Let α and β be the two root of the polynomial.

Therefore, α  =  a   and  β  =  $\frac{1}{a}$

We know that $\alpha ,\beta$ be the two root of the polynomial $ax^{2} +bx +c$

Then, $\alpha \beta$  =  $\frac{c}{a}$

     ⇒ a $\frac{1}{a}$ =  $\frac{k-2}{3}$

    ⇒ k-2  =  3

   ⇒   k=  5