Question

if alfa and bita are the zeros of the polynomial ax square +bx+c then alfa square and bita square=​

Answer 1

⋆ifαandβarethezeroesof

thepolynomial

ax

2

+bx+cthen

α

2

+β

2

=?

solution:

weknowthat

α+β=

a

−b

αβ=

a

c

then

(α+β)

2

=α

2

+β

2

+2αβ

(

a

−b

2

)=α

2

+β

2

+2(

a

c

)

α

2

+β

2

=

a

2

b

2

−

a

2c

=

a

2

b

2

−2ac