Unlike linear functions, which have no more than one zero, quadratic functions can have two zeros, as shown at right. The zeros of a function are the x-intercepts. x2 – 49 (x – 7)(x + 7)ģ Objectives Solve quadratic equations by graphing or factoring.ĭetermine a quadratic function from its roots.Ĥ A zero of a function is a value of the input x that makes the output f(x) equal zero. Lesson Presentation Lesson Quiz Holt Algebra 2Ģ Warm Up Find the x-intercept of each function. It may interest you to know that the completing the square process for solving quadratic equations was used on the equation ax 2 + bx + c = 0 to derive the quadratic formula.Presentation on theme: "5-3 Solving Quadratic Equations by Graphing and Factoring Warm Up"- Presentation transcript:ġ 5-3 Solving Quadratic Equations by Graphing and Factoring Warm Up There is no solution in the real number system. Find the square root of both sides of the equation.īecause a = 1, add, or 9, to both sides to complete the square.īecause a = 1, add, or 1, to both sides to complete the square.īecause a ≠ 1, multiply through the equation by.Using the value of b from this new equation, add to both sides of the equation to form a perfect square on the left side of the equation.Make sure that a = 1 (if a ≠ 1, multiply through the equation by before proceeding).
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