Find all the values of k so that the given points are 29 square units apart. (-5, 5) and (k,0).

Distance formula between 2 points (x1,y1) and (x2,y2)

D=

D=29 and one point is (-5,5) and the other is (k,0)
sub

29=
29=
square both sides
841=
841=
minus 25 both sides
816=
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

Cbottom left is the correct one.

Do you need with the x value for the minimum? its always between the two intercepts for a parabola