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Homework Statement
Homework Equations
Quadratic discriminant
The Attempt at a Solution
I did b^2 -4ac>=0, but the algebra becomes prohibitively difficult.
Sometimes there are just no shortcuts, and lengthy algebra cannot be avoided. That being said, I am not sure the result sought is correct; in particular, in your second equation you have a constant ##d## appearing in it, but there is no ##d## in the first equation.Homework Statement
Homework Equations
Quadratic discriminant
The Attempt at a Solution
I did b^2 -4ac>=0, but the algebra becomes prohibitively difficult.
What about the issue I raised? There is a ##d## in the second equation, but no ##d## in the first one. The relation between ##a,b,c## arising from the first equation does not involve any ##d## at all.I got something like
ab-4ac-ad+bc+bd-cd but I can't seem to work around that.
Thanks - I guess there's a misprint in my book after all.In the second equation there is a misprint
The correct equation is
(a+c-b)x^{2}-2(a-c)x+(a+c+b) = 0
The proof is not difficult. Just find the discriminant.