Question
Download Solution PDFax2 + x + b = 0 సమీకరణం యొక్క మూలాలు సమానంగా ఉంటే
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన:
ఇవ్వబడిన సమీకరణం ax2 + x + b = 0
ఉపయోగించిన భావన:
వర్గ సమీకరణం యొక్క సాధారణ రూపం ax2 + x + b = 0
మూలాల కోసం పరిస్థితి,
సమాన మరియు నిజమైన మూలాల కోసం, b 2 – 4ac = 0
అసమాన మరియు నిజమైన మూలాల కోసం, b 2– 4ac > 0
ఊహాత్మక మూలాల కోసం, b 2 – 4ac <0
లెక్కింపు:
సమాన మరియు నిజమైన మూలాల కోసం, b 2 – 4ac = 0
⇒ b 2 = 4ac
వర్గ సమీకరణం యొక్క సాధారణ రూపంతో పోల్చిన తర్వాత మనం పొందుతాము
b = 1, a = a మరియు c = b
అప్పుడు, b 2 = 4ac
⇒ 1 = 4ab
⇒ ab = 1/4
∴ సరైన సంబంధం ab = 1/4
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