Absolute Value Equations | MathHelp.com - By MathHelp.com
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| 00:0-1 | using the rule we learn in the previous example We | |
| 00:03 | can solve the equation , the absolute value of 5 | |
| 00:07 | -2 , x equals 11 . By first splitting things | |
| 00:11 | up into two separate equations . Our first equation will | |
| 00:15 | look exactly like the original except for the absolute value | |
| 00:19 | signs , So we have five minus two . X | |
| 00:25 | equals 11 . Our equations will be separated by the | |
| 00:30 | word or And our second equation will look exactly like | |
| 00:35 | the original except for the absolute value science and will | |
| 00:39 | change this 11 to a negative 11 . So we | |
| 00:43 | have 5 -2 . x equals negative 11 . Now | |
| 00:50 | all we have to do is solve our two equations | |
| 00:54 | on the left . Subtract five from both sides to | |
| 00:58 | isolate the X . Term and we get negative two | |
| 01:01 | . X equals six , divide both sides by negative | |
| 01:05 | two , And x equals negative three on the right | |
| 01:11 | . We also subtract five from both sides . To | |
| 01:15 | get negative two , X equals negative 16 , Divide | |
| 01:21 | both sides by -2 And x equals eight . So | |
| 01:27 | we have X equals negative three , or X equals | |
| 01:33 | eight and that's our answer . |
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