Вправи 888 - 1000 » 995 (е)

е) x2 + 2√(x^2 ) – 3 = 0; x2 + 2|x| – 3 = 0; 1) x < 0; x2 – 2x – 3 = 0; D = (–2)2 – 4 • 1 • (–3) = 4 + 12 = 16 = 42; x1 = (2-4)/2 = (-2)/2 = –1; x2 = (2+4)/2 = 6/2 = 3 – не задовольняє умову. 2) x ≥ 0; x2 + 2x – 3 = 0; D = 22 – 4 • 1 • (–3) = 4 + 12 = 16 = 42; x1 = (-2-4)/2 = (-6)/2 = –3 – не задовольняє умову; x2 = (-2+4)/2 = 2/2 = 1. Відповідь: –1; 1.