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