543. Решите уравнение: б) (2р - 3)² = 11p - 19;

б) (2p - 3)² = 11p - 19; 4p² - 12p + 9 = 11p - 19; 4p² - 23p + 28 = 0; D = (-23)² - 4 * 4 * 28 = 529 - 448 = 81; p₁ = (23 + √81) / (2 * 4) = (23 + 9) / 8 = 4; p₂ = (23 - √81) / (2 * 4) = (23 - 9) / 8 = 14 / 8 = 7 / 4 Ответ: p₁ = 4, p₂ = 7/4