Question
Download Solution PDFयदि x = 4 + √6 और y = 4 - √6 है, तो x² + y² का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
यदि x = 4 + √6 और y = 4 - √6
प्रयुक्त सूत्र:
x² + y² = (x + y)² - 2xy
गणना:
x = 4 + √6 और y = 4 - √6
x + y = (4 + √6) + (4 - √6) = 8
x × y = (4 + √6)(4 - √6) = 4² - (√6)² = 16 - 6 = 10
इसलिए, x² + y² = (8)² - 2 × 10
इसलिए, x² + y² = 64 - 20
इसलिए, x² + y² = 44
इसलिए, सही उत्तर विकल्प (3) है।
Last updated on Jul 10, 2025
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