Question

need a proper answer for this ​

Answer 1

${\huge {\mathfrak {Answer :-}}}$

____________

Here, we can say that

Sum of roots = - b/a

Product of roots = c/a

Suppose the roots are

Alpha = A

Beta = B.

So,

1/A^2 + 1/B^2

= [ (A + B)^2 - 2AB ] / (AB)^2

= (b^2/a^2 - 2c/a) / (c^2/a^2)

= (b^2 - 2ac)/a^2 * a^2/c^2

= (b^2 - 2ac) / c^2

_____________

Thanks..

Answer 2

Step-by-step explanation:

Here, we can say that

Sum of roots = - b/a

Product of roots = c/a

Suppose the roots are

Alpha = A

Beta = B.

So,

1/A^2 + 1/B^2

= [ (A + B)^2 - 2AB ] / (AB)^2

= (b^2/a^2 - 2c/a) / (c^2/a^2)

= (b^2 - 2ac)/a^2 * a^2/c^2

= (b^2 - 2ac) / c^2.