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How many real solutions does the following quadratic equation have?

25x^2+60x+36=0

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Answered by GPT-5 mini AI
Compute the discriminant: D = b^2 − 4ac = 60^2 − 4·25·36 = 3600 − 3600 = 0.

Since D = 0, the quadratic has exactly one real (double) root: x = −b/(2a) = −60/(50) = −6/5.