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This powerpoint presentation discusses or talks about the topic or lesson Solving Quadratic Equations using the Quadratic Formula. It also discusses the steps in solving quadratic equations using the method of Quadratic Formula.
Mathematics 9 Lesson 1-B: Solving Quadratic Equations using Quadratic Formula
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This powerpoint presentation discusses or talks about the topic or lesson Solving Quadratic Equations using the Quadratic Formula. It also discusses the steps in solving quadratic equations using the method of Quadratic Formula.
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Quadratic Equations In One Variable 1. Quadratic Equation an equation of the form ax2 + bx + c = 0 where a, b, and c are real numbers 2.Types of Quadratic Equations Complete Quadratic 3x2 + 5x + 6 = 0 Incomplete/Pure Quadratic Equation 3x2 - 6 = 0 3.Solving an Incomplete Quadratic 4.Example 1. Solve: x2 – 4 = 0 Solution: x2 – 4 = 0 x2 = 4 √x² = √4 x = ± 2 5.Example 2. Solve: 5x² - 11 = 49 Solution: 5x² - 11 = 49 5x² = 49 + 11 5x² = 60 x² = 12 x = ±√12 x = ±2√3 6.Solving Quadratic Equation 7.By Factoring Place all terms in the left member of the equation, so that the right member is zero. Factor the left member. Set each factor that contains the unknown equal to zero. Solve each of the simple equations thus formed. Check the answers by substituting them in the original equation. 8.Example: x² = 6x - 8 Solution: x² = 6x – 8 x² - 6x + 8 = 0 (x – 4)(x – 2) = 0 x – 4 = 0 | x – 2 = 0 x = 4 x = 2 9.By Completing the Square Write the equation with the variable terms in the left member and the constant term in the right member. If the coefficient of x² is not 1, divide every term by this coefficient so as to make the coefficient of x² equal to 1. Take one-half the coefficient of x, square this quantity, and add the result to both members. Find the square root of both members, placing a ± sign before the square root of the right member. Solve the resulting equation for x. 10.Example: x² - 8x + 7 = 0 11.By Quadratic Formula Example: 3x² - 2x - 7 = 0 12.Solve the following: 1. x² - 15x – 56 = 0 2. 7x² = 2x + 6 3. 9x² - 3x + 8 = 0 4. 8x² + 9x -144 = 0 5. 2x² - 3 + 12x 13.Activity: Solve the following quadratic formula. By Factoring By Quadratic Formula 1. x² - 5x + 6 = 0 1. x² - 7x + 6 = 0 2. 3 x² = x + 2 2. 10 x² - 13x – 3 = 0 3. 2 x² - 11x + 12 = 0 3. x (5x – 4) = 2 By Completing the Square 1. x² + 6x + 5 = 0 2. x² - 8x + 3 = 0 3. 2 x² + 3x – 5 = 0
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Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
Class 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdf
Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-II
Food Chain and Food Web (Ecosystem) EVS, B. Pharmacy 1st Year, Sem-II
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
Asian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptx
Making and Justifying Mathematical Decisions.pdf
Making and Justifying Mathematical Decisions.pdf
Square Roots
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Square Roots
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Example 1
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Example 2
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Example 3
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