distance formula between 2 points (x1,y1) and (x2,y2)
D=\(\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}\)
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=\(\sqrt{(-5-k)^{2}+(5-0)^{2}}\)
29=\(\sqrt{(-5-k)^{2}+(5)^{2}}\)
square both sides
841=\((-5-k)^{2}+(5)^{2}\)
841=\((-5-k)^{2}+25\)
minus 25 both sides
816=\((-5-k)^{2}\)
square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51
