Question
Download Solution PDF3x2 + 5x + 3 = 0 সমীকরণের মূলের প্রকৃতি নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
সমীকরণ 3x2 + 5x + 3 = 0
ধারণা:
দ্বিঘাত সূত্র ব্যবহার করে, D = b2 - 4ac
ব্যাখ্যা:
D = b2 - 4ac
যদি D ≥ 0 হয়, তাহলে সমীকরণের মূলগুলি হল বাস্তব
এবং যদি, D < 0, তাহলে সমীকরণের মূলগুলি কাল্পনিক
এখানে,
3x2 + 5x + 3 = 0
a = 3, b = 5, c = 3
⇒ D = 52 - (4 × 3 × 3) = -11
∴ D < 0, এবং সমীকরণের মূলগুলি কাল্পনিক।
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