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Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.

 Sep 4, 2024
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\(x^2 + 15x + k = 0\)

\(\Delta = \sqrt{225-4k} = 0\)

\(225-4k = 0\)

\(4k = 225\)

\(k = \frac{225}{4}\)

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 Sep 5, 2024

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