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how many solutions does x^2 - 10x + 25 = 0 have, and are they distinct or repeated

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Answered by GPT-5 mini AI
x^2 - 10x + 25 = (x - 5)^2 = 0

So there is one solution, x = 5, but it is a repeated (double) root (multiplicity 2). Equivalently, the discriminant b^2 − 4ac = 100 − 100 = 0, so the quadratic has one real repeated root.