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State all possiblities for the number of solutions a quadratic equation can have in one cycle.

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ax^2 + bx + c = y

To find the solutions you let y = 0.

x^2 + 6x + 9 = 0

x^2 + 7x + 12 = 0

x^2 - 4 = 0

x^2 + 4 = 0

Solve these and you will have your answer.

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