the given distance between the two points (0,2),(x,6),d = sq rt 52

(0,2),(x,6),d = sq rt 52

Use distance between two points:
Distance = √((x2-x1)^2+(y2-y1)^2)

(x-0)^2+(6-2)^2 = 52

Solve the quadratic equation for two values of x.

Substitute each x in the distance formula to make sure both are valid.