**8/21/2014****
**Find
point(s) of the form (2*a*,
*a*)
that are at a distance of 7 from (-1,
4).

**Scroll
down for the solution.**

**8/21/21014
**Solution.
**Using
the distance formula between ****(****2***a***,
***a***)
and ****(-1,
4), d = ****√(2a
+ 1)**^{2}**
+ (a – 4)**^{2}**
= 7.E**

**=
****(2
****±****
2****√41)/5****.
So the 2 points in the form ****(****2***a***,
***a***)
****are:
[(4**