Find all points on the x-axis that are 8 units from P (-4, 3).?

Question

pre cal problem

Answer 1

There will be two points, which can be found by the Theorem of Pythagoras:
P1 x = - 4 - √(64 - 15)
x = - 4 - √49
x = - 11
P2 x = - 4 + √(64 - 15)
x = - 4 + 7
x = 3