Question

If alpha and beta are the zeroes of the polynomial 2x^2-4x+5 find the value of 1/alpha+1/beta

Answer 1

Hey

Here is your answer,

2x^2 - 4x + 5=0

Sum of zeroes = -b/a
Alpha + beta = 4/2
= 2

Product of zeroes = c/a
Alpha x beta = 5/2

To find:

=1/alpha+1/beta
=Alpha + beta /alpha x beta
=2/ 5/2
=2 x 2/5
=4/5

Hope it helps you!

Answer 2

Heyaa user!!!
-----------------------------------------------------

Here's your answer :-

The given equation is :-

2x²-4x+5..........

Here, a=2,b=-4,c=5

Now,

Since it is given that alpha and beta are the two zeroes of the polynomial. So, by formula we have :-

(alpha +beta) =-b/a=4/2=2. ............(i)

(alpha *beta) =c/a=5/2. .............(ii)

Now,

we have to find :-

1/alpha+1/beta

=(beta +Alfa) / alpha * beta

Now, putting values of eq (i) and (ii) , we get :-

2*2/5

=4/5

So, 4/5 is your answer!!!!

Hope this helps!!!

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