SOLUTION: The coordinates of the point have equal absolute value, the point is in the second quadrant, and the distance of the point from the origin is 2

Algebra ->  Graphs -> SOLUTION: The coordinates of the point have equal absolute value, the point is in the second quadrant, and the distance of the point from the origin is 2      Log On


   



Question 268997: The coordinates of the point have equal absolute value, the point is in the second quadrant, and the distance of the point from the origin is 2
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This is Pythagorean theorem in disguise. We use
a%5E2+%2B+b%5E2+=+c%5E2
we know that c = 2 and that a = b because the absolute values are equal. Since we are in quadrant II one of the signs will be positive and the other will be negative. We get
a%5E2+%2B+a%5E2+=+2%5E2
or
2a%5E2+=+4
divide by 2 to get
a%5E2+=+2
take a square root to get
x+=+sqrt%282%29
Our coordinate is
(-sqrt(2), +sqrt(2))