Posted by jaz on Sunday, September 18, 2011 at 11:40pm.
In mathematics, the absolute value |a| of a real number a is the numerical value of a without regard to its sign.
So, for example, the absolute value of 3 is 3, and the absolute value of
-3 is also 3.
In this case:
| 4 x + 5 | = 4 x + 5
OR
| 4 x + 5 | = - ( 4 x + 5 ) = - 4 x - 5
Equation:
3 x + | 4 x + 5 | = 10
has two solutions.
1.)
3 x + 4 x + 5 = 10
7 x = 10 - 5
7 x = 5 Divide both sides with 7
x = 5 / 7
2.)
3 x - ( 4 x + 5 ) = 10
3 x - 4 x - 5 = 10
- x = 10 + 5
- x = 15 Multiply both sides with - 1
x = - 15
| 4 x + 5 | = 4 x + 5
| - ( 4 x + 5 ) | = | - 4 x - 5 | = | 4 x + 5 |
More direct way:
3x+|4x+5|=10
|4x+5| = 10-3x
4x+5 = 10-3x OR -4x-5 = 10-3x
7x = 5 OR -x = 15
x = 5/7 OR x = -15
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