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Solving Quadratic Equations

Solving Equations

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Lesson Goals

  • Recognize quadratic equations. 
  • Solve quadratic equations in various forms by graphing, by applying inverse operations, and by factoring.
  • Check solutions to quadratic equations by graphing or by performing a formal check.
  • Solve application problems that involve solving a quadratic equation.

Try This

The graph of the quadratic relation  \(y=-3(x-4)^2+9\) is shown here. 

The quadratic relation goes through points (2,-3), (3, 6), (4, 9), (5, 6), and (6, -3).

This relation has two zeros, although it is difficult to identify their exact values on the graph. Can you calculate the values of the zeros algebraically?