isabelle/valid/mathd_algebra_206.thy (16 lines of code) (raw):
(*
Authors: Albert Qiaochu Jiang
*)
theory mathd_algebra_206 imports
Complex_Main
begin
theorem mathd_algebra_206:
fixes a b :: real
and f :: "real \<Rightarrow> real"
assumes h0 : "\<And>x. f x = x^2 + a*x + b"
and h1 : "2 * a \<noteq> b"
and h2 : "f (2 * a) = 0"
and h3 : "f b = 0"
shows "a + b = -1"
sorry
end