Question
Download Solution PDFযদি α এবং β দ্বিঘাত বহুপদী f(x) = x2 - 5x +6 এর শূন্যক হয়, তাহলে ( α2β + β2α) এর মান নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFধারণা:
যদি α এবং β, সমীকরণ ax2 + bx + c =0 এর মূল হয়,
মূলের যোগফল (α + β) =
মূলের গুণফল (αβ) =
(x + y)2 = x2 + y2 + 2xy
গণনা:
প্রদত্ত: f (x) = x2 - 5x + 6
ax2 + bx + c = 0 এর সাথে f(x) তুলনা করে পাই, a = 1, b = -5 এবং c = 6
এখন, মূলের যোগফল = α + β =
এবং মূলের গুণফল αβ =
এখন, α2β + β2α = αβ (α + β)
= 6 × 5
= 30
সঠিক বিকল্প হল 2
Last updated on Jun 20, 2025
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