Provide an appropriate response.Given the solutions of a quadratic equation, is it possible to reconstruct the original equation? Why or why not?

What will be an ideal response?


No. Given the solutions of a quadratic equation, it is possible to find an equation equivalent to the original equation but not necessarily expressed in the same form as the original equation. For example, we can find a quadratic equation with solutions -2 and 4.
(x - (-2)) (x - 4) = 0
  (x + 2)(x - 4) = 0
  x2 - 2x - 8 = 0
Now x2 - 2x - 8 = 0 has solutions -2 and 4. However, the original equation might have been in another form, such as 

Mathematics

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A.
B.
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A.

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C.

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