X 3 8 x 3 8 and that is the process lets do the

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Unformatted text preview: t make any mistakes in the factoring process. [Return to Problems] (b) y 2 + 7 y Here’s the number we’ll need this time. 2 49 æ7ö ç ÷= 4 è2ø It’s a fraction and that will happen fairly often with these so don’t get excited about it. Also, leave it as a fraction. Don’t convert to a decimal. Now complete the square. 49 æ 7ö y + 7y + =çy+ ÷ 4è 2ø 2 2 This one is not so easy to factor. However, if you again recall that this will ALWAYS factor as y plus the blue number above we don’t have to worry about the factoring process. [Return to Problems] It’s now time to see how we use completing the square to solve a quadratic equation. The process is best seen as we work an example so let’s do that. Example 2 Use completing the square to solve each of the following quadratic equations. (a) x 2 - 6 x + 1 = 0 [Solution] (b) 2 x 2 + 6 x + 7 = 0 [Solution] (c) 3 x 2 - 2 x - 1 = 0 [Solution] Solution We will do the first problem in detail explicitly giving each step. In the...
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