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The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possible values for $a$?

 Apr 15, 2020
 #1
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Similar to just posted distance question

Use distance formula

 

(2a-4)^2   + (a-4 - -1)^2 =  (2 sqrt10)^2

4a^2 -16a + 16      +   a^2 -6a+9    = 40

5a^2 -22a -15 = 0    Use quadratic formula to find a =    5   or   -0.6    (if I made no mistakes!)

 Apr 15, 2020

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