Question 225657
The distance between two points is 5 units. One of the points is (3, 2). The other point has coordinates (x, -1). Use the distance formula to find all possible values of x.
d^2 = diffx^2 + diffy^2
25 = (x-3)^2 + 9
x^2 - 6x + 9 + 9 = 25
x^2 - 6x - 7 = 0
(x-7)*(x+1) = 0
x = 7
x = -1
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check:
x = -1
25 =? 26 + 9 It does
x = 7
same thing