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\(The real numbers c, b, a form an arithmetic sequence with a> b\ge c\ge 0. The quadratic ax^2+bx+c has exactly one root. What is this root?\)

 Mar 28, 2024
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Problem: The real numbers $c, b, a$ form an arithmetic sequence with $a\ge b\ge c\ge 0$. The quadratic $ax^2+bx+c$ has exactly one root. What is this root?

 

Using the discriminant, you can work out that the answer is -7 - 4*sqrt(3).

 Mar 30, 2024

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