Find x such that the distance between the points is 15.
(x,11)(-8,-1)
OK...so we have
√[(-8-x)2 + (-1 -11)2] = 15 let's square both sides to get rid of the radical
[(-8-x)2 + (-1 -11)2] = 225 simplify
64 + 16x + x2 + 144 = 225
x2 + 16x + 208 = 225
x2 + 16x - 17 = 0 factor
(x - 1) (x +17) = 0
So
x = 1 or x = -17
Find x such that the distance between the points is 15.
(x,11)(-8,-1)
OK...so we have
√[(-8-x)2 + (-1 -11)2] = 15 let's square both sides to get rid of the radical
[(-8-x)2 + (-1 -11)2] = 225 simplify
64 + 16x + x2 + 144 = 225
x2 + 16x + 208 = 225
x2 + 16x - 17 = 0 factor
(x - 1) (x +17) = 0
So
x = 1 or x = -17