# If α and β are the zeros of the quadratic polynomial , find the value of.

Given: α and β are the zeros of the quadratic polynomial

To find:
the value of .

Solution:

and β are the roots of the given eqn.

We know,

Sum of the roots =

= = 5

And
Product of the roots =  =  = = 4

⇒  =  = 4

Now,

,

On substituting values from above, we get

=

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