Выделите полный квадрат трехчлена: 1. 16 х^2+4x+5 2. 4x^2-3x+1 3. - 2x^2+7x-2

1) 16 * x² + 4 * x + 5 = (4 * x) ² + 2 * (4 * x) * (1/2) + 5 = (4 * x) ² + 2 * (4 * x) * (1/2) + (1/2) ² + (5 - (1/2) ²) = (4 * x) ² + 2 * (4 * x) * (1/2) + 1/4 + 4 ³/₄ = (4 * x + 1/2) ² + 4 3/4'

2) 4 * x² - 3 * x + 1 = (2 * x) ² - 2 * (2 * x) * (3/4) + 1 = (2 * x) ² - 2 * (2 * x) * (3/4) + (3/4) ² + (1 - (3/4) ²) = (2 * x - 3/4) ² + 7/16;

3) - 2 * x² + 7 * x - 2 = - (2 * x² - 7 * x + 2) = - ((√2 * x) ² - 2 * (√2 * x) * (7 / (2 * √2)) + (7 / (2 * √2)) ² + (2 - (7 / (2 * √2)) ²) = - ((√2 * x - 7 / (2 * √2)) ² - 4 ¹/₈).