distance formula between 2 points (x1,y1) and (x2,y2)
D=[tex] \sqrt{(x1-x2)^{2}+(y1-y2)^{2}} [/tex]
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=[tex] \sqrt{(-5-k)^{2}+(5-0)^{2}} [/tex]
29=[tex] \sqrt{(-5-k)^{2}+(5)^{2}} [/tex]
square both sides
841=[tex] (-5-k)^{2}+(5)^{2} [/tex]
841=[tex] (-5-k)^{2}+25 [/tex]
minus 25 both sides
816=[tex] (-5-k)^{2} [/tex]
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
