Word Problems - Part 17: Quadratic Age Word Problems | Shortcut Trick | Algebra 1

Master solving quadratic age word problems step-by-step! In Part 17, we solve a non-linear problem: Faith’s age is twice the square of her son’s age, and in 8 years, she will be 4 years older than three times his age. 00:00 - Problem Overview & Setup 01:23 - Translating the Word Problem to Equations 02:50 - Forming the Quadratic Equation 04:03 - Solving by Factoring (Grouping Method) 07:18 - Finding Faith's and Son's Ages 07:36 - Fast Factoring Shortcut (Discriminant & Sign Trick) 10:26 - Summary & Conclusion Thank you for watching! If you found this breakdown useful, a quick like or subscribe means a lot and helps support the channel. Don't hesitate to share your thoughts or questions in the comments. Happy studying, and see you in the next part! In this video, you will learn: • How to set up non-linear systems from word problem statements ($x = 2y^2$) • Simplifying into standard quadratic form: $2y^2 - 3y - 20 = 0$ • Traditional factoring by grouping vs. the rapid discriminant shortcut trick #Mathnova #Algebra #WordProblems #QuadraticEquations #MathShortcuts #LearnMath #Mathtricks