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 = - 5

Solution Set: {±5}