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It means that only one number, when inserted into the equation, will make it true. Here are some simple examples; I am using the symbol "^" for power, and I am omitting the linear term for simplicity:

x^2 = 4 (two solutions: 2 and -2)

x^2 = -9 (two solutions: 3i and -3i)

x^2 = 0 (one solution: 0)

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Q: What does it mean when the quadratic equation has only one solution?
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