Question

If one root of the quadratic equation `3x^2-10x+k=0` is reciprocal of the other , find the value  of k.  

 

Answer 1

Let α and β be the roots of the equation  `3x^2-10x+k=0` 

∴` α=1/β`                  (Given)  

⇒ `αβ=1` 

⇒`k/3=1`                      (Product of the roots =`c/a)`

⇒` k=3`  

Hence, the value of k is 3.