درباره وبلاگ

تقی خواجه دبیر ریاضی شهرستان مینودشت
کارشناسی: دبیری ریاضی دانشگاه تربیت معلم تهران(خوارزمی فعلی)
کارشناسی ارشد: ریاضی محض (آنالیز) دانشگاه گلستان
سابقه تدریس :22 سال
امیدوارم بتوانم نقش کوچکی در جهت گسترش آموزش ریاضی برای دانش آموزان عزیز این مرز و بوم داشته باشم.

مدیر وبلاگ : تقی خواجه
آرشیو وبلاگ
پیوندهای روزانه
نویسندگان
نظرسنجی
دوست دارید چه مطالبی در وبلاگ قرار داده شود؟

آمار وبلاگ
• کل بازدید :
• بازدید امروز :
• بازدید دیروز :
• بازدید این ماه :
• بازدید ماه قبل :
• تعداد نویسندگان :
• تعداد کل پست ها :
• آخرین بازدید :
• آخرین بروز رسانی :
آموزش ریاضیات دبیرستان
ریاضیات برای همه
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در بعضی مواقع می توان بین رادیکال ها و تجزیه ی چند جمله ای ها رابطه ای برقرار کرد.مثلا  برای محاسبه عبارت $\large&space;y=\left&space;(&space;\frac{16}{81}&space;\right&space;)^{\frac{1}{4}}$  می توانیم به صورت زیر عمل کنیم:

$\large&space;y&space;=&space;{\left(&space;{\frac{{16}}{{81}}}&space;\right)^{\frac{1}{4}}}$

$\large&space;{y^4}&space;=&space;{\left(&space;{{{\left(&space;{\frac{{16}}{{81}}}&space;\right)}^{\frac{1}{4}}}}&space;\right)^4}$

$\large&space;{y^4}&space;=&space;\frac{{16}}{{81}}$

$\large&space;81{y^4}&space;=&space;16$

$\large&space;81{y^4}&space;-&space;16&space;=&space;0$

$\large&space;{\left(&space;{9{y^2}}&space;\right)^2}&space;-&space;{4^2}&space;=&space;0$

$\large&space;\left(&space;{9{y^2}&space;-&space;4}&space;\right)\left(&space;{9{y^2}&space;+&space;2}&space;\right)&space;=&space;0$

$\large&space;\left(&space;{3y&space;-&space;2}&space;\right)\left(&space;{3y&space;+&space;2}&space;\right)\left(&space;{9{y^2}&space;+&space;2}&space;\right)&space;=&space;0$

عامل $\large&space;\left(&space;{9{y^2}&space;+&space;2}&space;\right)$ همواره مخالف صفر است (ریشه حقیقی ندارد) از طرفی عامل $\large&space;\left(&space;{3y&space;+&space;2}&space;\right)$ نیز نمی تواند مساوی صفر باشد زیرا مقدار منفی برای $\large&space;y$ قابل قبول نیست پس باید داشته باشیم:

$\large&space;3y&space;-&space;2&space;=&space;0&space;\Rightarrow&space;y&space;=&space;\frac{3}{2}$

نوع مطلب : ریاضیات۱، ریاضیات2،
برچسب ها : رابطه ی بین رادیکال و تجزیه،
لینک های مرتبط :

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