Question

(1) If a and B are the zeros of the quadratic polynomial f(x) = ax² + bx+c, then evaluate: a/B+B/a
​

Answer 1

Answer:

ANSWER

f(x)=ax

2

+bx+c

α,β are the zeroes.

So α+β=

a

−b

&αβ=

a

c

α

1

+

β

1

−2αβ

⇒

αβ

α+β

−2αβ=

c/a

−b/a

−

a

2c

⇒

c

−b

−

a

2c

=−

ac

(ab+2c

2

)