Question
Download Solution PDFఇవ్వబడిన రెండు సహజ సంఖ్యల మొత్తం యొక్క వర్గము 784, అయితే రెండు ఇవ్వబడిన సంఖ్యల లబ్ధం 192. ఈ రెండు ఇవ్వబడిన సంఖ్యల వర్గాల మధ్య ధనాత్మక వ్యత్యాసాన్ని కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFసంఖ్యలు X మరియు Y ఉండనివ్వండి
ఇచ్చిన:
(X + Y)2 = 784 మరియు XY = 192
లెక్కింపు:
(X + Y)2 = 784 ⇒ (X + Y) = 28
⇒ X2 + Y2 + 2XY = 784
⇒ X2 + Y2 + 2 × 192 = 784
⇒ X2 + Y2 = 400
కాబట్టి,
⇒ X2 + Y2 - 2XY = 400 - 2 × 192
⇒ X2 + Y2 - 2XY = 16
⇒ (X - Y)2 = 16
⇒ X - Y = 4
ఇప్పుడు,
X2 - Y2 = (X + Y)(X - Y)
⇒ 28 × 4 = 112
∴ సరైన ఎంపిక 4
Last updated on Jul 19, 2025
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