From 7afff036661b63c598abf1ca9f7f96a4f0504d5f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=81lvaro=20=40=20KASPARYAN-PC?= Date: Mon, 6 Jan 2025 19:32:20 -0300 Subject: [PATCH] vault backup: 2025-01-06 19:32:20 --- .../Exercícios/Aritmética e Álgebra.md | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) diff --git a/Matemática/1. Tópicos Fundamentais/Exercícios/Aritmética e Álgebra.md b/Matemática/1. Tópicos Fundamentais/Exercícios/Aritmética e Álgebra.md index a8f2bf4..79f92d8 100644 --- a/Matemática/1. Tópicos Fundamentais/Exercícios/Aritmética e Álgebra.md +++ b/Matemática/1. Tópicos Fundamentais/Exercícios/Aritmética e Álgebra.md @@ -30,12 +30,15 @@ a_1 + a_2 &= \dfrac{1}{\sqrt{b}+\sqrt{c}} + \dfrac{1}{\sqrt{a}+\sqrt{b}} \\ &= \dfrac{(\sqrt{a}+\sqrt{b})}{(\sqrt{a}+\sqrt{b})(\sqrt{b}+\sqrt{c})} + \dfrac{(\sqrt{b}+\sqrt{c})}{(\sqrt{a}+\sqrt{b})(\sqrt{b}+\sqrt{c})} \\ -&= \dfrac{\sqrt{a}+ 2\sqrt{b}+\sqrt{c}}{(\sqrt{a}\cdot+\sqrt{b})(\sqrt{b}+\sqrt{c})} +&= \dfrac{\sqrt{a}+ 2\sqrt{b}+\sqrt{c}}{(\sqrt{a}+\sqrt{b})(\sqrt{b}+\sqrt{c})} \end{align*} $$ $$ -= \dfrac{\sqrt{a}+ 2\sqrt{b}+\sqrt{c}}{(\sqrt{a}\cdot+\sqrt{b})(\sqrt{b}+\sqrt{c})} +\dfrac{2}{\sqrt{c} + \sqrt{a}} = \dfrac{\sqrt{a}+ 2\sqrt{b}+\sqrt{c}}{(\sqrt{a}+\sqrt{b})(\sqrt{b}+\sqrt{c})} $$ - - - +$$ +2(\sqrt{a}+\sqrt{b})(\sqrt{b}+\sqrt{c}) = (\sqrt{a}+ 2\sqrt{b}+\sqrt{c})(\sqrt{c} + \sqrt{a}) +$$ +$$ +2(\sqrt{a}+\sqrt{b})(\sqrt{b}+\sqrt{c}) = (\sqrt{a}+ 2\sqrt{b}+\sqrt{c})(\sqrt{c} + \sqrt{a}) +$$ \ No newline at end of file