Question
Download Solution PDFजर दोन संख्यांमधील फरक 4 असेल आणि त्यांचा गुणाकार 32 असेल, तर त्यांच्या घनांमधील परिपूर्ण फरक किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
दोन संख्यांमधील फरक 4 आहे
दोन संख्यांचा गुणाकार 32 आहे
गणना:
दोन संख्या अनुक्रमे x आणि y समजू
तर, दिलेल्या प्रश्नानुसार
x - y = 4 ⇔ x = 4 + y
तसेच, x y = 32
⇒ (4 + y) × y = 32
⇒ y2 + 4y - 32 = 0
⇒ y2 + 8y - 4y -32 = 0
⇒ y (y + 8) - 4 (y +8) = 0
⇒ ( y - 4) ( y + 8) = 0
⇒ y = 4 [y -8 असू शकत नाही, कारण ते ऋण आहे]
आता, x = 4 + y
x = 4 + 4 = 8
त्यांच्या घनांमधील फरक = 83 - 43
⇒ 512 - 64 = 448
म्हणून, त्यांच्या घनांमधील फरक 448 आहे.
Last updated on Jul 17, 2025
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