Completing The Square | MathHelp.com - By MathHelp.com
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| 00:0-1 | to solve this equation by completing the square , we | |
| 00:03 | need a perfect square . Try no meal on the | |
| 00:06 | left side of the equation and notice that the try | |
| 00:10 | no meal we have doesn't even factor so we know | |
| 00:13 | it's not a perfect square . Try no meal in | |
| 00:17 | order to create a perfect square , try no meal | |
| 00:19 | on the left side , We would first move this | |
| 00:22 | plus 30 over to the right by subtracting 30 from | |
| 00:28 | both sides of the equation and we have m squared | |
| 00:32 | plus 12 M equals negative 30 . Notice that I've | |
| 00:39 | left room for a space on each side of the | |
| 00:44 | equation . The number that goes in each space is | |
| 00:50 | the number that we need to create a perfect square | |
| 00:53 | . Try no meal on the left side of the | |
| 00:55 | equation . The question is , what is that number | |
| 01:00 | ? Well , it comes from a formula . The | |
| 01:03 | number that goes in these spaces always comes from half | |
| 01:07 | the coefficient of the middle term square . In this | |
| 01:13 | case that's half of causative 12 , which is positive | |
| 01:17 | six squared Which is positive 36 . So we add | |
| 01:23 | 36 to both sides of the equation . Notice the | |
| 01:30 | left side now factors as M plus six times M | |
| 01:35 | plus six or M plus six square The right side | |
| 01:44 | simplifies 26 And now our problem looks just like one | |
| 01:49 | of the examples in the previous section to solve for | |
| 01:53 | M . We get rid of the squared by square | |
| 01:57 | rooting both sides and we have M plus six equals | |
| 02:04 | plus or minus . Route six . Don't forget to | |
| 02:08 | use plus or minus when square rooting both sides of | |
| 02:11 | an equation to get in by itself . We subtract | |
| 02:16 | six from both sides and we have em equals negative | |
| 02:22 | six plus or minus route six . And let's write | |
| 02:27 | our answer in set notation . Yeah . Mhm . | |
| 02:31 | Yeah . This method for solving a quadratic equation is | |
| 02:39 | called completing the square and we'll be using it throughout | |
| 02:44 | the rest of this unit . |
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