Question

08. if, alfa and beta are the roots of the quadratic equation x' + x + 1 = 0, then
1/1/B​

Answer 1

Answer:

ANSWER

x

2

−x−1=0

α+β=1

and α.β=−1

Now,

2−α

1+α

+

2−β

1+β

=

4−2(α+β)+α.β

2−β+2α−αβ+2−α+2β−αβ

=

4−2(α+β)+α.β

4+α+β−2α.β

=

4−2−1

4+1+2

=7

And

2−α

1+α

2−β

1+β

=

4−2(α+β)+α.β

1+(α+β)+αβ

=

4−2−1

1+1−1

=1

Hence, the equation is

x

2

−7x+1=0.

Answered By

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