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The length of the segment between the points (2a, a - 4) and (4,1) is 2*sqrt(30) units. What is the product of all possible values for a?

 May 14, 2021
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By distance formula, $(2a-4)^2+(a-5)^2=(2\sqrt{30})^2$. Solve for $a$ via quadratic methods.

 May 15, 2021

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