Question
Download Solution PDFयदि a + b = 11 और ab = 35 है, तो (a4 + b4) का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
a + b = 11 और ab = 35
प्रयुक्त अवधारणा:
1. (a + b)2 = a2 + 2ab + b2
2. a2 + b2 = (a + b)2 - 2ab
गणना:
a + b = 11
⇒ (a + b)2 = 112 (दोनों ओर वर्ग लेने पर)
⇒ a2 + 2ab + b2 = 121
⇒ (a2 + b2) = 121 - 2 × 35
⇒ (a2 + b2) = 51 ....(1)
अब, (a4 + b4)
⇒ (a2)2 + (b2)2
⇒ (a2 + b2)2 - 2a2b2
⇒ (51)2 - 2 × 352 (1 से)
⇒ 151
∴ अभीष्ट मान 151 है।
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