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13.1/2(x-1) squared

Guide :High School

13.1/2(x-1) squared

13.1/2(x-1) squared - 4 = -1 14. 2x squared + 5x = 5x + 50
13. ¹/₂(x - 1)² - 4 = -1      ¹/₂(x - 1)(x - 1) - 4 = -1      ¹/₂(x(x - 1) - 1(x - 1)) - 4 = -1      ¹/₂(x(x) - x(1) - 1(x) + 1(1)) - 4 = -1       ¹/₂(x² - x - x + 1) - 4 = -1       ¹/₂(x² - 2x + 1) - 4 = -1       ¹/₂(x²) - ¹/₂(2x) + ¹/₂(1) - 4 = -1       ¹/₂x² - x + ¹/₂ - 4 = -1       ¹/₂x² - x - 3¹/₂ = -1                  + 3¹/₂   + 3¹/₂                ¹/₂x² - x = 2¹/₂         ¹/₂x - x - 2¹/₂ = 0           x = -(-1) ± √((-1)² - 4(¹/₂)(-2¹/₂))                                2(¹/₂)           x = 1 ± √(1 + 5)           x = 1 ± √(6)           x = 1 + √(6)    or    x = 1 - √(6)Solution Set: {1± √(6)}14. 2x² + 5x = 5x + 50             - 5x  - 5x              2x² = 50               2       2                x² = 25            √(x²) = √(25)                  x = ±5                 x = 5    or    x = -5Solution Set: {±5} ...

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