Find x so the distance between (x, 2) and (1, 4) is square root 13

distance = sqrt( (x1-x2)^2+(y1-y2)^2)

sqrt(13) = sqrt ((x-1)^2+(4-2)^2)

square each side

13 =  ((x-1)^2+(4-2)^2)

13 = ((x-1)^2+(2)^2)

13 = (x-1)^2+4

subtract 4 from each side

9 = (x-1)^2

take the square root of each side  (remember plus and minus)

sqrt(9) - sqrt((x-1)^2)

3 = x-1                                 -3 = x-1

add 1 to each side

4 =x                                     -2 =x

Answer x= -2, 4

The formula of a distance between two points:

We have the points (x, 2) and (1,4) and the distance d = √13.

Substitute:

sorry man i accidentally pressed yes my bad

step-by-step explanation: