Quadratic Equations: Formula, Discriminant & Sum/Product of Roots | DSAT Math Topic 3

Topic 3 of "DSAT Math: The Essential Concepts." Master the three tools for quadratic equations on the Digital SAT: the quadratic formula, the discriminant (how many real solutions?), and the sum and product of the roots, a shortcut that skips solving altogether. Then watch two SAT-style questions solved step by step. 📘 Follow along with the free PDF guide, "DSAT Math: The Essential Concepts": https://math-with-joseph.kit.com/7611a63751 ⏱ Chapters 0:00 Three big ideas 0:17 The quadratic formula 1:27 The discriminant: how many real solutions? 2:40 Sum & product of the roots 3:52 Recap 4:04 Your turn: try Examples 1 & 2 4:48 Example 1: product of the solutions, find k 5:39 Example 2: no real solutions, find n ✏️ Practice problems in this video Example 1: In 32x² + (32w + t)x + tw = 0, the product of the two solutions is ktw. What is k? Example 2: 2x² − 20x + k = 0 has no real solutions exactly when k is greater than n. What is the least possible value of n? ⏮️ Previous lesson, Topic 2, Systems of Linear Equations:    • Systems of Linear Equations: No Solution o...   ▶️ Next lesson, Topic 4, Quadratic Functions:    • Quadratic Functions: Standard, Vertex & Fa...   📚 Watch the whole series in order:    • DSAT Math: The Essential Concepts   👨‍🏫 Joseph Pak | B.A. Mathematics, UT Austin | Texas-certified math teacher | 18+ years teaching 🔔 Subscribe for step-by-step DSAT, AP Precalculus, and AP Calculus lessons:    / @mathwithjoseph   📸 Instagram: https://www.instagram.com/math.with.joseph/ #DSAT #SATMath #QuadraticEquations