SOLUTION: 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. Show yo

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. Show your work.
Please help!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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
-------
check:
x = -1
25 =? 26 + 9 It does
x = 7
same thing

RELATED QUESTIONS
1.The midpoint of LN is M(6,-3). One endpoint is L (-2,8). What is the other endpoint? (answered by psbhowmick)

I'M SO LOST PLEASE HELP! Point A is the origin. Find the coordinates of the two points (answered by Alan3354)

Point A is the origin. Find the coordinates of the two points that are 5 units distant... (answered by reviewermath)

10. Point A is the origin. Find the coordinates of the two points that are 5 units... (answered by FrankM)

the point (5,y) is square root of 17 units. How can we find the y. (DISTANCE BETWEEN... (answered by stanbon)

Find the distance between two points. (-2,-1)... (answered by Alan3354,josgarithmetic)

what is the distance formula and how would i solve this problem. Find all the points... (answered by reviewermath)

Please help! I need to be done with the course by June 20th! I have questions 1,2 and 3... (answered by ikleyn)

10. Point A is the origin. Find the coordinates of the two points that are 5 units... (answered by solver91311)