Question

if alpha and beta are the zeros of of a quadratic polynomial(x2+x-2)then the value of 1/alpha+1/beta will be

options;

a.1/2

b.1

c.2

d.-1/root2
plzz answer fast

Answer 1

hope this helps you☺️☺️☺️

Answer 2

Step-by-step explanation:

f(x)= x² + x -2

We know that;

α + β= -b/a

=> α + β= -1/1 = -1

αβ= c/a

=> αβ= -2

Now,

1/α + 1/β (taking LCM)

=> β + α/αβ (Since, β+α=α+β)

=> -1/-2

=> 1/2