Inequalities

(8x + 4)^1/2 = 2x + 1

((8x + 4)^1/2)² = (2x + 1)²

8x + 4 = 4x² + 4x + 1

0 = 4x² + 4x - 8x + 1 - 4

0 = 4x² - 4x - 3

0 = (2x - 3)(2x + 1)

2x - 3 = 0 or 2x + 1 = 0

2x - 3 = 0

2x = 3

x = 3/2

or

2x + 1 = 0

2x = -1

x = -1/2

return