Question

If alpha and beta are the roots of the equation ax2+bx+c=0 then the values of 1/alpha^2 + 1/beta^2 is

Answer 1

Answer:

let alpha= A and beta= B (for ease of typing)

then A+ B = -b/a and AB= c/a.

A2+B2= (A+B)^2 - 2AB

          = b2/a2 - 2c/a

          = b2 - 2ac/ a2

now,

1/A2 + 1/B2

= (B2 + A2)/ AB^2

= (b2 - 2ac/ a2) / (c/a)^2, on simplifying,

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

Answer 2

Answer:

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