Question

if alpha, beta, are the zeros of the polynomial x²-6x+9 then find 1/alpha+1/beta​

Answer 1

Answer:

α,β are roots of equation

x

2

+6x+9=0

α+β=−6 & αβ=9

So, if roots are

α

1

,

β

1

x

2

−(

α

1

+

β

1

)x+

αβ

1

=0

x

2

−(

αβ

α+β

)x+

αβ

1

=0

x

2

+

9

6

x+

9

1

=0

9x

2

+6x+1=0-Answer