Question
Download Solution PDFఇవ్వబడిన రెండు సహజ సంఖ్యల మధ్య వ్యత్యాసం యొక్క ఘనం 1728, అయితే ఈ రెండు అందించిన సంఖ్యల ఉత్పత్తి 108. ఈ రెండు ఇచ్చిన సంఖ్యల ఘనాల మధ్య ధనాత్మక వ్యత్యాసాన్ని కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
(1వ సహజ సంఖ్య - 2వ సహజ సంఖ్య)3 = 1728
1వ సహజ సంఖ్య × 2వ సహజ సంఖ్య = 108
ఉపయోగించిన సూత్రం:
(A - B)3 = A3 - B3 - 3AB × (A - B)
లెక్కింపు:
1వ సహజ సంఖ్య = A
2వ సహజ సంఖ్య = B
(A - B)3 = 1728
⇒ (A - B) = 3√1728 = 12
A3 - B3 = (A - B)3 + 3AB × (A - B)
⇒ 1728 + 3 × 108 × 12
⇒ 1728 + 3 × 108 × 12
⇒ 1728 + 3888 = 5616
∴ సరైన సమాధానం 5616 .
Last updated on Jun 25, 2025
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