Вправи 888 - 1000 » 994 (ґ)

ґ) x|x| – 7x + 10 = 0; 1) x < 0; –x2 – 7x + 10 = 0; D = (–7)2 – 4 • (–1) • 10 = 49 + 40 = 89; x1 = (7- √89)/(-2) > 0 – не задовольняє умову; х2 = (7+ √89)/(-2); 2) х ≥ 0; x2 – 7x + 10 = 0; D = (–7)2 – 4 • 1 • 10 = 49 – 40 = 9 = 32; x1 = (7-3)/2 = 4/2 = 2; x2 = (7+3)/2 = 10/2 = 5. Відповідь: (7+ √89)/(-2); 2; 5.