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College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter2: Equations And Inequalities
Section2.5: Quadratic Equations
Problem 49SE: Beginning with the general form of a quadratic equation, ax2+bx+c=0 , solve for xby using the...
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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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