What is the DISCRIMINANT? Quadratic formula ALGEBRA

𝙁𝙍𝙀𝙀 𝙬𝙤𝙧𝙠𝙨𝙝𝙚𝙚𝙩 𝙛𝙤𝙧 𝙩𝙝𝙞𝙨 𝙫𝙞𝙙𝙚𝙤! Follow along with the video, and fill in the blanks as you go. 📝 https://socraticafoundation.gumroad.com/l/bstest 𝙎𝙞𝙜𝙣 𝙪𝙥 𝙩𝙤 𝙤𝙪𝙧 𝙢𝙖𝙞𝙡𝙞𝙣𝙜 𝙡𝙞𝙨𝙩 𝙛𝙤𝙧 𝙛𝙧𝙚𝙚 𝙝𝙚𝙡𝙥: ✉️ https://snu.socratica.org/algebra We’ll send emails to keep you updated. In this video, we talk about how to use the discriminant of the quadratic formula to make some predictions about the roots (solutions) of a quadratic equation. The discriminant is the part under the radical (or square root sign) of the quadratic formula: b-squared minus 4ac. We use the capital Greek letter “delta” to stand for the discriminant. If the discriminant is positive, you know there are two real roots to the equation. If the discriminant is zero, you know there is a repeating root. And if the discriminant is negative (less than 0), you know the roots are complex numbers. Note: this is assuming the coefficients are real numbers. ⏩ 𝙅𝙪𝙢𝙥 𝙩𝙤 𝙩𝙝𝙚𝙨𝙚 𝙨𝙚𝙘𝙩𝙞𝙤𝙣𝙨 𝙞𝙣 𝙩𝙝𝙚 𝙫𝙞𝙙𝙚𝙤: 0:00 Introduction to Discriminant 1:08 Example 1: positive discriminant 2:45 Example 2: discriminant = 0 4:39 Example 3: negative discriminant 8:00 Note about real coefficients 📖 𝙑𝙊𝘾𝘼𝘽𝙐𝙇𝘼𝙍𝙔 𝙏𝙀𝙍𝙈𝙎 𝙞𝙣 𝙩𝙝𝙞𝙨 𝙫𝙞𝙙𝙚𝙤: quadratic equation quadratic formula discriminant roots repeating roots 📚 𝙒𝙚 𝙧𝙚𝙘𝙤𝙢𝙢𝙚𝙣𝙙 𝙩𝙝𝙚 𝙛𝙤𝙡𝙡𝙤𝙬𝙞𝙣𝙜 𝙧𝙚𝙨𝙤𝙪𝙧𝙘𝙚𝙨: 𝙃𝙤𝙬 𝙏𝙤 𝘽𝙚 𝙖 𝙂𝙧𝙚𝙖𝙩 𝙎𝙩𝙪𝙙𝙚𝙣𝙩 ebook: https://amzn.to/2Lh3XSP Paperback: https://amzn.to/3t5jeH3 Kindle Unlimited: https://amzn.to/3atr8TJ 𝙃𝙤𝙬 𝙏𝙤 𝙎𝙤𝙡𝙫𝙚 𝙒𝙤𝙧𝙙 𝙋𝙧𝙤𝙗𝙡𝙚𝙢𝙨 Paperback: https://amzn.to/46ev44W 𝙒𝘼𝙏𝘾𝙃 𝙉𝙀𝙓𝙏 Word Problem playlist: ▶️ https://www.youtube.com/watch?v=_eiopZHnV2A&list=PL-VfR_4zJHyKYA7e8b2Y7B9p5CqKL35pM SMARTER Study Tips from Socratica: ▶️ http://bit.ly/StudyTipsPlaylist This video was made possible by The Socratica Foundation. 𝙎𝙪𝙥𝙥𝙤𝙧𝙩 𝙩𝙝𝙞𝙨 𝙣𝙤𝙣𝙥𝙧𝙤𝙛𝙞𝙩: 💚💙💜 https://socratica.kindful.com The Socratica Foundation is an educational nonprofit with the mission to build the essential, universal knowledge base every student needs to succeed. We provide a solid educational foundation in the three timeless pillars: literacy, numeracy, and critical thinking. 🦉 https://www.socratica.org/ 𝘾𝙧𝙚𝙙𝙞𝙩𝙨: Instructor: Michael Lee Harrison Produced by Michael Lee Harrison and Kimberly Hatch Harrison Edited by Megi Shuke Musical Theme: Halogen by Neon Beach (VHQ29FHRNKLFVDG5) 𝙎𝙞𝙜𝙣 𝙪𝙥 𝙩𝙤 𝙤𝙪𝙧 𝙢𝙖𝙞𝙡𝙞𝙣𝙜 𝙡𝙞𝙨𝙩 𝙩𝙤 𝙟𝙤𝙞𝙣 𝙩𝙝𝙞𝙨 𝙘𝙡𝙖𝙨𝙨 𝙛𝙤𝙧 𝙛𝙧𝙚𝙚: https://snu.socratica.org/algebra We’ll send you occasional emails to keep you updated. #Math #Algebra #Discriminant