Find all points on the x axis that are 6 units from the point 4 3

Use the distance formula

a point on the x axis is where y=0

disatnce formula
distance between (x1,y1) and (x2,y2) is


we have the point (4,3) and (x,0)
and D=6





square both sides

minus 36 both sides
0=x²-8x-11
factor
we can't
use quadratic formula
for
0=ax²+bx+c


so
0=1x²-8x-11
a=1
b=-8
c=-11







the 2 points are