\(The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possible values for $a$?\)
Your latex sucks.
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- Just plug into the distance formula and solve.
\((2\sqrt{10})^2=40\)
\((4-2a)^2+(-1-(a-4))^2=40\)
\((4-2a)^2+(3-a)^2=40\)
Now solve (if you can, try using vieta's formulas to do it even faster.)