PERFORMANCE TASK DIRECTIONS: Read each problem carefully then answer the questions that follow. 1. Copy then complete the table. Quadratic Equations Discriminant Nature of Roots Sum Product Roots $2x^2 + 3x + 1 = 0$ $x^2 - 49 = 0$ $x^2 - x + 3 = 0$ 2. The equation $2x^2 - 5x - 7 = 0$ has the roots as shown below. $2x^2 - 5x - 7 = 0$ $(2x + 2)(x - 7) = 0$ $\frac{2(x + 1)}{2} = 0; x - 7 = 0$ $x + 1 = 0; x - 7 = 0$ $x = -1; x = 7$ a. Do you think the roots are correct? Why? b. If you are task to find the roots of the equation, what would it be? Justify your answer with a solution.
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