Question

Hello Brainliacs.

Here's my question----!


Also find the value of
$(1 \div \alpha ) - (1 \div \beta )$
and
$(1 \div \alpha {}^{3} ) + (1 \div \beta {}^{3} )$

Quality answer required ​

Answer 1

F(x) = 6x^2 + x - 2 =0



Sum of roots = (a + b) = - 1/6




Products of roots = (ab) = - 2/6 = - 1/3



a/b + b/a =. a^2 + b^2 / ab



=. ( a + b)^2 - 2ab /ab


= (-1/6)^2 - 2( - 1/3) / (-1/3)




= 1/36 +2/3 /(-1/3)




= - 25/12