Question
Download Solution PDFx + y = 8, x மற்றும் y இன் பெருக்குத்தொகை 15 எனில், x4 + y4 இன் மதிப்பு என்ன?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
x + y = 8
x × y = 15
பயன்படுத்தப்படும் கருத்து:
(a + b)2 = a2 + b2 + 2ab
கணக்கீடு:
நாம் அறிந்தது,
⇒ (x + y)2 = x2 + y2 + 2xy
மதிப்புகளை பிரதியிட நாம் பெறுவது,
⇒ 82 = x2 + y2 + 2 × 15
⇒ x2 + y2 = 64 – 30 = 34
⇒ x2 + y2 = 34
இருபுறமும் வர்க்கப்படுத்த நாம் பெறுவது,
⇒ (x2 + y2)2 = (34)2
⇒ x4 + y4 + 2x2y2 = 1156
⇒ x4 + y4 + 2 × (15)2 = 1156
⇒ x4 + y4 = 1156 – 2 × 225 = 1156 – 450 = 706
எனவே, தேவையான x4 + y4 இன் மதிப்பு 706 ஆகும்.
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