#1**0 **

Hi I am sorry, did you mean 5x^2 - 11x + 4 = 0? If yes, then 1/a + 1/b = 0

If not, then there's only 1 answer.

hipie Jun 3, 2022

#6**0 **

Note that \({ 1 \over a} + {1 \over b} = {a \over ab} + {b \over ab} ={ {a + b} \over ab}\)

Now, we can use Vieta's formula (\({-b \over a} = {11 \over 5}\)) to find a+b.

We can also use \({c \over a} = {4 \over 5}\) to find ab.

This means \({1 \over a} + {1 \over b} = {{11 \over 5} \over {4 \over 5}} = \color{brown}\boxed{11 \over 4}\)

BuilderBoi Jun 4, 2022