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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 58HP
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### Quadratic Equations Practice #### Solve the following equations. Be sure all answers are exact and fully simplified. Show all work. *(5 points each)* **a)** \(3x^2 - 3x = 36\) **b)** \(2x^2 + 4x + 5 = 0\) --- For each equation: 1. **Explain your steps**: - How did you isolate the variable? - What methods did you use (factoring, quadratic formula, completing the square, etc.)? - Show how each term contributes to the solution. 2. **Fully simplify your answers**: - Combine like terms. - Simplify any fractions or square roots. 3. **Check your work**: - Substitute your solutions back into the original equations to verify they are correct.
Transcribed Image Text:### Quadratic Equations Practice #### Solve the following equations. Be sure all answers are exact and fully simplified. Show all work. *(5 points each)* **a)** \(3x^2 - 3x = 36\) **b)** \(2x^2 + 4x + 5 = 0\) --- For each equation: 1. **Explain your steps**: - How did you isolate the variable? - What methods did you use (factoring, quadratic formula, completing the square, etc.)? - Show how each term contributes to the solution. 2. **Fully simplify your answers**: - Combine like terms. - Simplify any fractions or square roots. 3. **Check your work**: - Substitute your solutions back into the original equations to verify they are correct.
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