Directions: Use the quadratic equations below to answer the questions that follow.
x(squared) = 36 t(squared) – 64 = 0 2s(squared) – 98 = 0

1. Describe and compare the given equations. What statements can you make?

2. Solve each equation in as many ways as you can. Determine the values of each variable to make each equation true.

3. How did you know that the values of the variable really satisfy the equation?

4. Aside from the procedures that you followed in solving each equation, do you think there are other ways of solving it? Describe these ways if there are any.

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Answers

2014-06-19T00:59:26+08:00

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1) All of them are quadratic equations. Also, all are missing the bx term.
    (term with variable x, from ax² +bx +c = 0)

2)    x² = 36                   t² -64 = 0                     2s² -98 = 0
      x = ±6                     t² = 64                         2s² = 98
                                     t = ±8                          s² = 49
                                                                        s = ±7

3) We know that these values satisfy the equation because the equations will be true if we substitute them.

4) Yes, we only used the extraction of square roots. Other methods include special products and using the quadratic formula.
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