lean_workbook_plus_76404

Proved

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

If $x+y=\frac {5}{2}$ , and $x^2 + y^2 = \frac {13}{4}$ , what is the value of $x^5 + y^5$ ?

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_76404 (x y : ℝ) (h₁ : x + y = 5/2) (h₂ : x^2 + y^2 = 13/4) : x^5 + y^5 = 275/32   :=  by sorry

Source