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Use the Zero Product Property or complete the square to solve the following quadratic equations. Then check your solutions.

  1. Use an area model and a diamond problem to help you factor the equation.

    Generic Rectangle, labeled as follows: Exterior left, top, negative 5, bottom, x, exterior bottom, left, x, right, negative 5, interior, top left, negative 5 x, top right, 25, bottom left, x squared, bottom right, negative 5 x. Diamond problem: left, negative 5 x, right, negative 5 x, top, 25 x squared, bottom, negative 10 x.

  1. See part (a).

  1. Rewrite the equation so that it is equal to .

  1. You should notice that this is a difference of squares.