{"common":{"save":0,"post_id":"7798","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7417","post_id":"7798","mon_id":"1159278","chapter_id":"1159282","question":"<p>Tích các nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình: <span class=\"math-tex\">$(x^2-2x+1)(x^2-2x+5)=0$<\/span> là<\/p>","options":["<strong>A.<\/strong> 2","<strong>B.<\/strong> –2","<strong>C.<\/strong> 4","<strong>D.<\/strong> 1"],"correct":"4","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D.<\/strong> 1.<\/span><\/p><p><span class=\"math-tex\">$(x^2-2x+1)(x^2-2x+5)=0$<\/span><\/p><p>\u0110\u1eb7t <span class=\"math-tex\">$t=x^2-2x+1$<\/span>, ta \u0111\u01b0\u1ee3c <span class=\"math-tex\">$t(t+4)=0$<\/span>. Suy ra t = 0 ho\u1eb7c t = –4.<\/p><p>V\u1edbi t = 0 thì <span class=\"math-tex\">$x^2-2x+1=0$<\/span> hay <span class=\"math-tex\">$(x-1)^2=0$<\/span> hay <span class=\"math-tex\">$x=1$<\/span>.<\/p><p>V\u1edbi t = –4 thì <span class=\"math-tex\">$x^2-2x+1=-4$<\/span> hay <span class=\"math-tex\">$(x-1)^2=-4$<\/span> (vô lí).<\/p><p>V\u1eady ph\u01b0\u01a1ng trình có m\u1ed9t nghi\u1ec7m là x = 1.<\/p><p>V\u1eady tích các nghi\u1ec7m là 1.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-07 03:02:17","option_type":"txt","len":1},{"id":"7419","post_id":"7798","mon_id":"1159278","chapter_id":"1159282","question":"<p>M\u1ed9t câu l\u1ea1c b\u1ed9 d\u1ef1 ki\u1ebfn t\u1ed5 ch\u1ee9c ngh\u1ec9 d\u01b0\u1ee1ng cu\u1ed1i tu\u1ea7n \u0111\u1ec3 t\u1ed5 ch\u1ee9c các ho\u1ea1t \u0111\u1ed9ng g\u1eafn k\u1ebft các thành viên. Bi\u1ebft chi phí d\u1ef1 ki\u1ebfn cho chuy\u1ebfn \u0111i là 20 tri\u1ec7u \u0111\u1ed3ng và giá thuê các d\u1ecbch v\u1ee5 và phòng ngh\u1ec9 là 12 tri\u1ec7u \u0111\u1ed3ng\/1 ngày, giá m\u1ed7i su\u1ea5t \u0103n tr\u01b0a là 50 000 \u0111\u1ed3ng, m\u1ed7i su\u1ea5t \u0103n t\u1ed1i là 45 000 \u0111\u1ed3ng, m\u1ed7i su\u1ea5t \u0103n sáng là 25 000 \u0111\u1ed3ng. H\u1ecfi câu l\u1ea1c b\u1ed9 có th\u1ec3 t\u1ed5 ch\u1ee9c cho t\u1ed1i \u0111a bao nhiêu thành viên?<\/p>","options":["<strong>A.<\/strong> 100","<strong>B.<\/strong> 88","<strong>C.<\/strong> 86","<strong>D.<\/strong> 66"],"correct":"4","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D.<\/strong> 66.<\/span><\/p><p>G\u1ecdi s\u1ed1 thành viên tham gia là x, x ∈ N*.<\/p><p>Theo \u0111\u1ec1 bài ta có: <span class=\"math-tex\">$12 000 000 + (50 000 +45 000 + 25 000)x\u00a0\\le\u00a020 000 000$<\/span> hay <span class=\"math-tex\">$120000x\\le8000000$<\/span> suy ra <span class=\"math-tex\">$x\\le\\dfrac{200}{3}\\approx66,67$<\/span>. Mà x ∈ N* nên x = 66.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-07 03:07:51","option_type":"txt","len":0},{"id":"7421","post_id":"7798","mon_id":"1159278","chapter_id":"1159282","question":"<p>Gi\u1ea3 s\u1eed ph\u01b0\u01a1ng trình <span class=\"math-tex\">$\\dfrac{x}{x-1}-\\dfrac{x-1}{x}=0$<\/span> có nghi\u1ec7m x = a. Tính S = a² <span class=\"math-tex\">$-\\dfrac{9}{4}$<\/span>.<\/p>","options":["<strong>A.<\/strong> S = 1","<strong>B.<\/strong> S = 2","<strong>C.<\/strong> S = –2","<strong>D.<\/strong> S = –1"],"correct":"3","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>C.<\/strong> S = –2.<\/span><\/p><p>\u0110i\u1ec1u ki\u1ec7n <span class=\"math-tex\">$x\\ne0;x\\ne1$<\/span>.<\/p><p><span class=\"math-tex\">$\\dfrac{x}{x-1}-\\dfrac{x-1}{x}=0$<\/span><\/p><p><span class=\"math-tex\">$x^2-(x-1)^2=0$<\/span><\/p><p><span class=\"math-tex\">$x^2-x^2+2x-1=0$<\/span><\/p><p><span class=\"math-tex\">$x=\\dfrac{1}{2}$<\/span> (th\u1ecfa \u0111i\u1ec1u ki\u1ec7n)<\/p><p>Khi \u0111ó S = <span class=\"math-tex\">$\\bigg(\\dfrac{1}{2}\\bigg)^2-\\dfrac{9}{4}$<\/span> = <span class=\"math-tex\">$-2$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-07 03:14:23","option_type":"txt","len":1}]}