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Curated by: Khan Academy India - English (11 videos)
Given AM and GM, can we find the numbers? Let's learn how to move in the reverse direction. In this video, we approach this problem through the world of quadratic equations. Since AM deals with sum of roots and GM deals with product of roots, we leverage both of these to generate a quadratic equation. The roots of this equation, turns out, are the numbers we're looking for! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-11/xea4762213f311c5e:sequences-and-series-ncert-new/xea4762213f311c5e:geometric-progression/e/geometric-series) Timestamps: 00:00 Problem 1 (Finding the quadratic equation) 00:34 Leveraging sum and product of roots 01:43 Problem 2 (Finding the two numbers) 02:54 Solving the quadratic to get the roots Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta