hi all,

the question posed is

Given that for all values of , find the value of and the value of .

is this correct?

since

so

and solving for b

so

and expanding the RHS

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- August 28th 2009, 12:09 AMsammy28quadratic algebra
hi all,

the question posed is

Given that for all values of , find the value of and the value of .

is this correct?

since

so

and solving for b

so

and expanding the RHS

- August 28th 2009, 01:26 AMaidan
- August 28th 2009, 01:33 AMDefunkt
Your solution is correct, however there is a much easier way of getting to it:

Simply look at the equation when (you can do this since you are told that it holds for any

Then, you get: :

:

This gives us two possible solutions, however is obviously wrong! so we are left with - August 28th 2009, 02:07 AMbandedkrait
Since two quadratic expressions,

and

are identical,

their coefficients will be in proportion.

i.e.

so

So - August 28th 2009, 02:22 AMsammy28
thanks for the replies. its good to see it approached from different angles.

defunkt i like your logic! (Clapping)

thanks a lot

sammy