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Solve Quadratic Equations (5 Different Methods)

Learn how to solve quadratic equations using five different methods in this comprehensive tutorial! We'll cover graphing, factoring, the square root method, completing the square, and the quadratic formula. This video features 11 problems: 6 detailed examples demonstrating each technique, followed by 5 practice problems for you to try on your own. Understanding these different methods will equip you to choose the most efficient approach for any quadratic equation you encounter. From simple factoring to the universal quadratic formula, you'll gain the skills to find the solutions (roots, zeros, or x-intercepts) of any quadratic. In this video, you'll learn about and practice: Graphing Method: Finding solutions by identifying x-intercepts on a parabola. 0:40 When to use the graphing method. 1:00 Finding the vertex and plotting points. 3:00 Identifying solutions from the graph. Factoring Method: Solving by factoring the quadratic expression. 3:50 When to use the factoring method (easy to factor, a=1). 4:00 Finding two numbers that multiply to C and add to B. 4:40 Setting factors equal to zero and solving. Square Root Method: Isolating the squared term and taking the square root. 5:30 When to use the square root method (perfect square terms). 5:50 Example 1: (5/4)x² = 75 (Simplifying radicals). 7:00 Example 2: (x + 3)² = 16 (Splitting into two equations). Completing the Square Method: Transforming the quadratic into a perfect square trinomial. 8:30 When to use completing the square (a=1, B is even). 9:00 Moving the constant term. 9:30 Taking half of B and squaring it. 10:30 Factoring the perfect square and solving using the square root method. Quadratic Formula: A universal method for any quadratic equation. 12:10 When to use the quadratic formula (always works, especially for difficult cases). 12:50 Plugging A, B, C into the formula. 13:50 Simplifying the discriminant and the radical. 14:50 Reducing the final answer. Practice Problems (7-11): Apply the best method for each. 16:50 Practice Problem 7: x² - x - 12 = 0 (Factoring) 18:00 Practice Problem 8: x² + 8x + 1 = 0 (Completing the Square) 19:40 Practice Problem 9: 4x² = 9 (Square Root Method) 21:00 Practice Problem 10: 2x² - 3x - 5 = 0 (Quadratic Formula) 23:00 Practice Problem 11: Solving from a given graph (Graphing Method) Master these five powerful methods to solve any quadratic equation! If you found this video helpful, please give it a thumbs up and subscribe to Mario's Math Tutoring for more algebra lessons! #QuadraticEquations #SolvingQuadratics #Algebra #Factoring #QuadraticFormula #CompletingTheSquare #SquareRootMethod #GraphingQuadratics #Algebra1 #Algebra2 #MathTutorial #MathHelp #MarioMathTutoring Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) https://www.mariosmathtutoring.com/fr... ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)    / @mariosmathtutoring