lean_workbook_plus_4188

Proved

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

We have two numbers $a, b$ . We are given that $a+b = 50, ab = 25$ . Then $\frac{1}{a}+\frac{1}{b}= \frac{a+b}{ab}= \frac{50}{25}= \boxed{2}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_4188 (a b : ℝ) (h₁ : a + b = 50) (h₂ : a * b = 25) : 1 / a + 1 / b = 2   :=  by sorry

Source