Complex Numbers | Math Sec 1 ماث لغات اولي ثانوي 2027 Algebra Lesson 1 💪🔥

In this video we explain Complex Numbers (Lesson 1 – Algebra) for Math Sec 1 – 2027, step by step from scratch 💪 ✅ Introduction to Complex Numbers ✅ The Imaginary Unit i and the value of i² ✅ Real & Imaginary Parts ✅ Operations on Complex Numbers (add, subtract, multiply) ✅ Solved examples & applications on the lesson الفيديو ده أول خطوة صح علشان تجيب الدرجة النهائية في الماث 💯 📌 متنساش: 👍 Like the video 🔔 Subscribe & turn on the bell علشان يوصلك كل جديد ✍️ اكتب أي سؤال في الكومنتات وهنرد عليك __________________________________________________________ 0:00 Intro & Lesson Outline ⚡ 1:38 The Imaginary Unit i (√–1) 🤔 4:40 Powers of i: i² = –1, i³ = –i, i⁴ = 1 🔄 7:44 The "Divide by 4" Rule for Powers of i ✂️ 11:35 Simplest Form of i^n 🎯 14:40 Negative Powers of i ⬇️ 18:38 Imaginary vs Real Numbers ⚖️ 19:34 Practice on Powers of i 📝 21:16 T.P.Y — Try By Yourself (Part 1) ✍️ 30:06 Checking the T.P.Y Answers ✅ 32:50 Special Cases: 1 + i + i² + i³ + i⁴ & √–18 + √–12 💡 35:36 Definition of a Complex Number z = a + bi 📖 38:42 Solving Equations: x² + 16 = 0 🧪 40:27 Solving More Equations (Solution Set in Complex) 🧪 42:20 The General Formula (Quadratic with Complex Roots) 🧮 50:30 More General Formula Examples 🧮 54:23 Equality of Two Complex Numbers ⚖️ 55:28 Finding x & y (Real Parts) 🔍 59:59 Solving a System by Elimination ➗ 1:03:31 T.P.Y — Try By Yourself (Part 2) ✍️ 1:05:00 Adding & Subtracting Complex Numbers ➕ 1:07:36 Multiplying Complex Numbers ✖️ 1:10:30 Difference of Two Squares (4–3i)(4+3i) ⏺️ 1:11:54 Expanding (a ± b)² 🔲 1:14:55 Practice on Expanding Brackets 🔲 1:21:16 T.P.Y — Try By Yourself (Part 3) ✍️ 1:26:47 Higher Powers & Simplification 🏆 1:29:24 The Conjugate 💞 1:32:16 Conjugate vs Additive Inverse 🔁 1:36:15 Dividing by a Complex Number (Simplest Form) ➗ 1:41:46 More Division Examples ➗ 1:45:46 Dividing: 2/(1+i) ➗ 1:47:38 Proof: x & y are Conjugates 🏆 1:51:02 Outro — Homework & Summary ❤️ ________________________________________________________ complex numbers, complex numbers sec 1, complex numbers lesson 1, math sec 1, math sec 1 first term, algebra sec 1, ماث لغات اولي ثانوي, ماث لغات اولي ثانوي 2027, math sec 1 language schools, imaginary numbers, complex numbers explained, real numbers and imaginary, imaginary unit, math for egyptian students, complex numbers algebra, math secondary 1, complex numbers examples, real and imaginary parts, i squared, math sec 1 2027, complex numbers 2027, prep secondary 1 math, algebra complex numbers, math language schools sec 1, complex numbers from scratch, math sec 1 complex numbers, operations on complex numbers, math sec 1 new curriculum, solving complex numbers, complex numbers unit 1 ___________________________________________________ #complex_numbers #math_sec1 #ماث_لغات #algebra #first_term_2027