Posted by shansen1@pacbell.net (67.119.39.19) on October 01, 2003 at 22:44:50:
In Reply to: HELP!! I Don't KNOw how to do ABsoulute Value posted by on October 01, 2003 at 13:01:01:
There are 4 possibilities for the signs of the quantities inside the two absolute value symbols. These cases must be examined separately.
Case 1: left, right = +, +
Case 2: left, right = +, -
Case 3: left, right = -, +
Case 4: left, right = -, -
Case 1 +, +
+(7u + 6) = +(-9u - 7)
7u + 9u = - 7 - 6
16u = -13
u = -13/16
Case 2 +, -
+(7u + 6) = -(-9u - 7)
7u - 9u = 7 - 6
-2u = 1
u = -1/2
Case 3 -, +
-(7u + 6) = +(-9u - 7)
-7u + 9u = -7 + 6
2u = -1
u = -1/2
Case 4 -, -
-(7u + 6) = -(-9u - 7)
-7u - 9u = 7 + 6
-16u = 13
u = -13/16
So the answer is u = {-1/2,-13/16}