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16-10-2014
Mathematics

Answered

the length of a line segment is \(\sqrt{20}\) and its endpoints are (5,1) and (x,-3). What is the solution set for x?

Verified Answer :

16-10-2014

To solve the length of a line, use the distance formula (which is also the pythagorean theorem). In this case, it's (5-x)^2 + (1+3)^2 = 20.

Simplify that to (5-x)^2 + 16 = 20,
so (5-x)^2 = 4
So 5-x = 2 or -2,
so x = 3 or 7.

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