Solving Quadratic Equations by Factoring | MathHelp.com - By MathHelp.com
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00:00 | If you're asked to solve a quadratic equation by the | |
00:04 | method of your choice , you should always check to | |
00:08 | see if the quadratic factors before you try any other | |
00:13 | method . In this case we have a try no | |
00:16 | meal . That factors as the product of two Bino | |
00:22 | meals in the first position for each binomial we'll use | |
00:27 | our factors of 11 X squared which are 11 X | |
00:33 | and X in the second position for each binomial Will | |
00:38 | use factors of -8 . And the factors that we | |
00:43 | choose our positive for and negative two Because if we | |
00:51 | take the product of the outer terms which is negative | |
00:54 | 22 x plus the prior to the inner terms which | |
00:58 | is positive for X , We end up with the | |
01:01 | middle term in our original try no meal negative 18 | |
01:06 | x . If you need a review of this type | |
01:09 | of factoring , Go Back to Unit three In the | |
01:13 | Factoring Chapter . So we have 11 x plus four | |
01:18 | times X -2 equals zero , which means that either | |
01:26 | 11 X plus four equals zero , or X -2 | |
01:36 | equals zero . So solving each equation from here on | |
01:43 | the left , we subtract four from both sides to | |
01:46 | get 11 x equals -4 , Divide both sides by | |
01:51 | 11 To get x equals negative 4 11th . And | |
01:57 | on the right we add to to both sides To | |
02:01 | get x equals two , So our solution is negative | |
02:08 | 4 11th 2 right . |
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