Question
Download Solution PDF4x3 − 8x2 − 13x + 19 = 0 के सभी मूलों का योग और गुणनफल है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
बहुपद समीकरण 4x3 - 8x2 - 13x + 19 = 0 है।
प्रयुक्त सूत्र:
मूलों का योग = -b/a
सभी मूलों का गुणनफल = (-1)n × अचर पद/a, जहाँ n बहुपद की घात है।
गणनाएँ:
बहुपद 4x3 - 8x2 - 13x + 19 = 0 के लिए:
x3 का गुणांक (a) = 4
x2 का गुणांक (b) = -8
अचर पद = 19
मूलों का योग:
⇒ मूलों का योग = -b/a
⇒ मूलों का योग = -(-8)/4 = 2
सभी मूलों का गुणनफल:
⇒ सभी मूलों का गुणनफल = (-1)3 × अचर पद/a
⇒ सभी मूलों का गुणनफल = -19/4
∴ सभी मूलों का योग और गुणनफल क्रमशः 2 और -19/4 है।
सही उत्तर विकल्प 2 है।
Last updated on Jul 19, 2025
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