Question
Download Solution PDFयदि 5 द्विघाती समीकरण x2 + 2(k - 3)x + 9 = 0 के मूलों के बीच आता है, तो k के पूर्ण हल के समूह को ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFमाना कि दो मूल a और b है।
दिया गया है:
इसलिए, उपरोक्त आरेख से, हम निष्कर्ष निकाल सकते हैं कि D > 0 और F(5) < 0 है।
F(5) < 0
52 + 2(k - 3)5 + 9 < 0
25 + 10k – 30 + 9 < 0
10k + 4 < 0
k < (- 4)/10
इसलिए.
k ε (- ∞, (- 4)/10)
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