SOLUTION: Find all values of y such that the distance between (4, y) and (−2, 6) is 10 units. The answer given is sqrt(49 - 12sqrt(5)) or 3sqrt(5) - 2. Just don't get it.

Algebra ->  Coordinate-system -> SOLUTION: Find all values of y such that the distance between (4, y) and (−2, 6) is 10 units. The answer given is sqrt(49 - 12sqrt(5)) or 3sqrt(5) - 2. Just don't get it.      Log On


   

Question 1114739: Find all values of y such that the distance between (4, y) and (−2, 6) is 10 units. The answer given is sqrt(49 - 12sqrt(5)) or 3sqrt(5) - 2. Just don't get it.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Distance Formula. Expect maybe two possible results.

%284-%28-2%29%29%5E2%2B%28y-6%29%5E2=10%5E2

%284%2B2%29%5E2%2B%28y-6%29%5E2=100

%28y-6%29%5E2=100-36

%28y-6%29%5E2=64

y-6=0%2B-+8

y=6%2B-+8

system%28y=-2%2Cor%2Cy=14%29