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Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
Problem 8MRE
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Prompt: Amy and Richard each solved an equation using the quadratic formula. Amy's Equation and Method 4x² + 7x20 = 0 -7± Step 1: x = Step 2: x = Step 3: x = Step 4: x = Step 1: x = Step 2: x = Step 3: x = Richard's Equation and Method x² - 6x + 8 = 0 Step 4: x = Step 5: x = -7± √49-80 8 -7± √-31 8 -7± √31 8 /724(1)(20) 2(4) 6 ± √(-6)² - 4(1)(8) 2(1) 6√36-32 2 6± √4 2 6+√4 2 6+2 2 Both students made a mistake. and x = and x = Step 6: x4 and x = 3 - i 6-√4 2 62i 2 1. Describe the mistake each student made. Number your responses from 1 to 3. 2. Explain what each student needs to do to fix their mistake. 3. Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using a, b, and c of your equation and giving the solutions to the equation you chose.
Transcribed Image Text:Prompt: Amy and Richard each solved an equation using the quadratic formula. Amy's Equation and Method 4x² + 7x20 = 0 -7± Step 1: x = Step 2: x = Step 3: x = Step 4: x = Step 1: x = Step 2: x = Step 3: x = Richard's Equation and Method x² - 6x + 8 = 0 Step 4: x = Step 5: x = -7± √49-80 8 -7± √-31 8 -7± √31 8 /724(1)(20) 2(4) 6 ± √(-6)² - 4(1)(8) 2(1) 6√36-32 2 6± √4 2 6+√4 2 6+2 2 Both students made a mistake. and x = and x = Step 6: x4 and x = 3 - i 6-√4 2 62i 2 1. Describe the mistake each student made. Number your responses from 1 to 3. 2. Explain what each student needs to do to fix their mistake. 3. Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using a, b, and c of your equation and giving the solutions to the equation you chose.
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