Question
Download Solution PDFযদি \(x+\frac{1}{1+\frac{1}{3+\frac{1}{2}}}=1\) হয়, তাহলে x এর মান কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
যদি x + \(\dfrac{1}{1+\dfrac{1}{3+\dfrac{1}{2}}}\) = 1
ব্যবহৃত সূত্র:
ধাপে ধাপে ভগ্নাংশগুলো সরলীকরণ করুন।
গণনা:
\(\dfrac{1}{3+\dfrac{1}{2}}\) = \(\dfrac{1}{\dfrac{7}{2}}\) = \(\dfrac{2}{7}\)
⇒ \(\dfrac{1}{1+\dfrac{2}{7}}\) = \(\dfrac{1}{\dfrac{9}{7}}\) = \(\dfrac{7}{9}\)
⇒ x + \(\dfrac{7}{9}\) = 1
⇒ x = 1 - \(\dfrac{7}{9}\)
⇒ x = \(\dfrac{9}{9}\) - \(\dfrac{7}{9}\)
⇒ x = \(\dfrac{2}{9}\)
∴ সঠিক উত্তর হলো বিকল্প (1)।
Last updated on Jun 17, 2025
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