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**Unformatted text preview: **and isolating a constant term on the other side. x 2 + 8 x + 5 = x 2 + 8 x = ± 5 The coefficient of x 2 is 1, so we may now complete the square . We accomplish this by adding 16 to both sides of the equation. Why 16? We obtain the number we must add by taking the coefficient of x (here, 8), halving it (resulting in 4), and then squaring the result (the square of 4 is 16). x 2 + 8 x + 16 = ± 5 + 16 WARNING 9 : Do not forget to add 16 to the right-hand side, also. We now have a PST on the left-hand side. x + 4 ( ) 2 = 11 by factoring the PST ( ) x + 4 = ± 11 by the Square Root Method ( ) x = ± 4 ± 11 Technically, the solution set is: ± 4 ± 11 , ± 4 + 11 { } . §...

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