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2. Chapter Sections 8.1 – Solving Quadratic Equations by Completing the Square 8.2 – Solving Quadratic Equations by the Quadratic Formulas 8.3 – Quadratic Equations: Applications and Problem Solving 8.4 – Writing Equations in Quadratic Form 8.5 – Graphing Quadratic Functions 8.6 – Quadratic and Other Inequalities in One Variable

3. Quadratic Formula The quadratic formulacan be used to solve any quadratic equation. It is the most versatile method of solving quadratic equations.. To use the quadratic formula, the equation must be written in standard form ax2 + bx + c = 0, where a is the coefficient of the squared term, b is the coefficient of the first-degree term, and c is the constant. 3x2 + 4x – 5 = 0 a = 3, b =4, and c = – 5

4. Quadratic Formula To Solve a Quadratic Equation by the Quadratic Formula Write the quadratic equation in standard form, ax2 + bx + c = 0, and determine the numerical values for a, b, and c. Substitute the values for a, b, and c into the quadratic formula and then evaluate the formula to obtain the solution.

5. Quadratic Formula Example Solve x2 + 2x – 8 = 0 by using the quadratic formula. continued

6. Determine a Quadratic Equation Given Its Solutions Example Determine an equation that has the solutions -5 and 1.