Question

Given (6,1) and (x,−11), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.

Answer 1

1, 11

Explanation:

Substituting into the distance formula,

`√((6-x)^2+(1-(-11))^2)=13 \\ \\ (6-x)^2+144=169 \\ \\ (6-x)^2=25 \\ \\ 6-x=\pm 5 \\ \ -x=-6 \pm 5 \\ \\ x=6 \pm 5 \\ \\ x=11, 1`