Question

If m and n are the zeros of 2x2 -4x+5 then find value of 1/m +1/n

Answer 1

Answer:

$\frac{4}{5}$

Step-by-step explanation:

Two roots are $m$ and $n$.

$\frac{1}{m} + \frac{1}{n}$

= $\frac{n+m}{nm}$

= $\frac{(sum\ of \ the \ roots)}{(product\ of\ the\ roots)}$

= $\frac{-\frac{b}{a} }{\frac{c}{a} }$

= $-\frac{b}{c}$

= $-\frac{-4}{5}$

= $\frac{4}{5}$  (Ans.)