Question
Download Solution PDFযে দ্বিঘাত সমীকরণের বাস্তব ও সমান বীজ \(\frac{3}{5}\) , তা হল :
Answer (Detailed Solution Below)
Detailed Solution
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দ্বিঘাত সমীকরণের বাস্তব ও সমান বীজ
গণনা:
ধরা যাক বীজ দুটি m এবং n
প্রশ্নানুসারে,
m = \(\frac{3}{5}\), এবং n = \(\frac{3}{5}\)
এখন, বীজদ্বয়ের যোগফল = m + n = \(\frac{3}{5}\) + \(\frac{3}{5}\)
বীজদ্বয়ের যোগফল =\(6\over5\)
বীজদ্বয়ের গুণফল = mn = \(\frac{3}{5}\) * \(\frac{3}{5}\)
বীজদ্বয়ের গুণফল = \(9\over25\)
এখন, দ্বিঘাত সমীকরণের সূত্রে মান বসিয়ে,
x2 - (m + n)x + mn = 0
x2 - \(6\over5\)x + \(9\over25\) = 0
সমাধান করে পাই,
25x2 - 30x + 9 = 0
25x2 - 30x + 9 = 0
অতএব, দ্বিঘাত সমীকরণটি হবে '25x2 - 30x + 9 = 0'
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