Question
Download Solution PDFसमीकरण ax2 + x + b के मूलवर्ग बराबर होंगे यदि
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया हुआ:
दिए गए समीकरण ax2 + x + b = 0 है
उपयोग की गई अवधारणा:
द्विघात समीकरण का सामान्य रूप ax2 + x + b = 0 है
मूल के लिए स्थिति,
समान और वास्तविक मूल के लिए, b2 – 4ac = 0
असमान और वास्तविक मूल के लिए, b2 – 4ac > 0
काल्पनिक मूल के लिए, b2 – 4ac < 0
गणना:
समान और वास्तविक जड़ों के लिए, b2 – 4ac = 0
⇒ b2 = 4ac
द्विघात समीकरण के सामान्य रूप की तुलना करने के बाद हम प्राप्त करेंगे
b = 1, a = a and c = b
Then, b2 = 4ac
⇒ 1 = 4ab
⇒ ab = 1/4
∴ सही संबंध ab = 1/4 है
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