# Give examples of quadratic equations with (a) two real solutions, (b) one real solution, and (c) no real solution.

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by charitulabut

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by charitulabut

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x2 – 2x = 4

x2 – 2x – 4 = 0Since there are no factors of (1)(–4) = –4 that add up to –2, then this quadratic does not factor. (In other words, there is no possible way that the faux-factoring solution of "x = 4, x – 2 = 4" could be even slightly correct.) So factoring won't work, but I can use the Quadratic Formula; in this case, a = 1, b = –2, and c = –4: Copyright © Elizabeth Stapel 2000-2011 All Rights ReservedThen the answer is: x = –1.24, x = 3.24, rounded to two places.