Question
Download Solution PDFబహుపది యొక్క సున్నాల మొత్తం
5x2 + (5p – 1)x – (2p + 5) లబ్దంలో నాల్గవ వంతుకు
సమానం. p విలువను కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన సమస్య:
బహుపది యొక్క సున్నాల మొత్తం 5x2 + (5p – 1)x – (2p + 5) = 1/4 × సున్నాల లబ్దం
సమీకరణం:
ఇచ్చిన బహుపది రూపం, ax2 + bx + c = 0
సున్నాల మొత్తం = - b/a
సున్నాల లబ్దం = c/a
సాధన:
సున్నాల మొత్తం = - (5p - 1)/5
సున్నాల లబ్దం = - (2p + 5)/5
సమస్యలో ఇచ్చిన ప్రకారం;
⇒ - (5p - 1)/5 = 1/4 × [- (2p + 5)/5]
⇒ (5p - 1) = (2p + 5)/4
⇒ 20p - 4 = 2p + 5
⇒ 20p - 2p = 5 + 4
⇒ 18p = 9
⇒ p = 9/18 = 1/2
p = 1/2
∴ p విలువ 1/2
Last updated on Jul 19, 2025
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