{"common":{"save":0,"post_id":"7797","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7398","post_id":"7797","mon_id":"1159278","chapter_id":"1159282","question":"<p>Ph\u01b0\u01a1ng tr&igrave;nh&nbsp;<span class=\"math-tex\">$\\dfrac{6x}{9-x^2}=\\dfrac{x}{x+3}-\\dfrac{3}{3-x}$<\/span>&nbsp;c&oacute; nghi\u1ec7m l&agrave;<\/p>","options":["<strong>A.<\/strong> x = &ndash;4","<strong>B.<\/strong> x = &ndash;2","<strong>C.<\/strong> V&ocirc; nghi\u1ec7m","<strong>D.<\/strong> V&ocirc; s\u1ed1 nghi\u1ec7m"],"correct":"3","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong> V&ocirc; nghi\u1ec7m.<\/span><\/p><p>\u0110KX\u0110&nbsp;<span class=\"math-tex\">$\\begin{cases}x+3\\ne0\\\\3-x\\ne0\\end{cases}$<\/span>&nbsp;hay&nbsp;<span class=\"math-tex\">$\\begin{cases}x\\ne-3\\\\x\\ne3\\end{cases}$<\/span>.<\/p><p><span class=\"math-tex\">$\\dfrac{6x}{9-x^2}=\\dfrac{x}{x+3}-\\dfrac{3}{3-x}$<\/span><\/p><p><span class=\"math-tex\">$\\dfrac{6x}{(x+3)(3-x)}=\\dfrac{x(3-x)-3(x+3)}{(x+3)(3-x)}$<\/span><\/p><p><span class=\"math-tex\">$6x=3x-x^2-3x-9$<\/span><\/p><p><span class=\"math-tex\">$x^2+6x+9=0$<\/span><\/p><p><span class=\"math-tex\">$(x+3)^2=0$<\/span><\/p><p><span class=\"math-tex\">$x+3=0$<\/span><\/p><p><span class=\"math-tex\">$x=-3$<\/span>&nbsp;(kh&ocirc;ng th\u1ecfa \u0111kx\u0111)<\/p><p>V\u1eady ph\u01b0\u01a1ng tr&igrave;nh v&ocirc; nghi\u1ec7m.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-07 02:12:54","option_type":"txt","len":2},{"id":"7400","post_id":"7797","mon_id":"1159278","chapter_id":"1159282","question":"<p>Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr&igrave;nh&nbsp;<span class=\"math-tex\">$\\dfrac{x}{x-5}-\\dfrac{3}{x-2}=1$<\/span>&nbsp;l&agrave;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x=-\\dfrac{1}{2}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$x=\\dfrac{5}{2}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$x=-\\dfrac{5}{2}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$x=\\dfrac{1}{2}$<\/span>"],"correct":"3","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$x=-\\dfrac{5}{2}$<\/span>.<\/span><\/p><p>\u0110KX\u0110:&nbsp;<span class=\"math-tex\">$x\\ne5$<\/span>&nbsp;v&agrave;&nbsp;<span class=\"math-tex\">$x\\ne2$<\/span><\/p><p><span class=\"math-tex\">$\\dfrac{x}{x-5}-\\dfrac{3}{x-2}=1$<\/span><\/p><p><span class=\"math-tex\">$\\dfrac{x}{x-5}-\\dfrac{3}{x-2}-1=0$<\/span><\/p><p><span class=\"math-tex\">$\\dfrac{x(x-2)-3(x-5)-(x-5)(x-2)}{(x-5)(x-2)}=0$<\/span><\/p><p><span class=\"math-tex\">$x^2-2x-3x+15-x^2+2x+5x-10=0$<\/span><\/p><p><span class=\"math-tex\">$2x=-5$<\/span><\/p><p><span style=\"color:#16a085;\"><span class=\"math-tex\">$x=-\\dfrac{5}{2}$<\/span>&nbsp;<\/span>(th\u1ecfa \u0110KX\u0110)<span style=\"color:#16a085;\"><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-07 02:18:27","option_type":"math","len":0},{"id":"7402","post_id":"7797","mon_id":"1159278","chapter_id":"1159282","question":"<p>Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr&igrave;nh&nbsp;<span class=\"math-tex\">$\\dfrac{x-1}{x}=\\dfrac{3x+2}{3x+3}$<\/span>&nbsp;l&agrave;&nbsp;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x=\\dfrac{3}{2}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$x=-\\dfrac{3}{2}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$x=\\dfrac{1}{2}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$x=-\\dfrac{1}{2}$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$x=-\\dfrac{3}{2}$<\/span>.<\/span><\/p><p>\u0110i\u1ec1u ki\u1ec7n:&nbsp;<span class=\"math-tex\">$x\\ne0;x\\ne-1$<\/span>.<\/p><p><span class=\"math-tex\">$\\dfrac{x-1}{x}=\\dfrac{3x+2}{3x+3}$<\/span><\/p><p><span class=\"math-tex\">$\\dfrac{(x-1)(3x+3)}{x(3x+3)}=\\dfrac{(3x+2)x}{x(3x+3)}$<\/span><\/p><p><span class=\"math-tex\">$3x^2+3x-3x-3=3x^2+2x$<\/span><\/p><p><span class=\"math-tex\">$2x=-3$<\/span><\/p><p><span style=\"color:#16a085;\"><span class=\"math-tex\">$x=-\\dfrac{3}{2}$<\/span>&nbsp;<\/span>(th\u1ecfa \u0111i\u1ec1u ki\u1ec7n)<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-07 02:23:41","option_type":"math","len":0}]}