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What is the length of the segment of the number line whose endpoints satisfy x^2 - 16x + 3 = 0?

 Nov 26, 2022
 #1
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You can use the quadratic formula:

\(x = {16 \pm \sqrt{256 - 12}\over2}\)

\(x = {16\pm2\sqrt{61}\over2}\)

\(x = 8\pm\sqrt{61}\)

Number line has length \(2\sqrt{61}\)

 Nov 26, 2022

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