lean_workbook_plus_44312

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Let a,b be real numbers and\n $a^3 = 3ab^2 + 11$ \n $b^3 = 3a^2 b + 2$ \nfind $a^2 + b^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_44312 (a b : ℝ) (h₁ : a^3 = 3*a*b^2 + 11) (h₂ : b^3 = 3*a^2*b + 2) : a^2 + b^2 = 5   :=  by sorry

Source