If x-1/x = 2 then x^4+1/x^4
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Given that
x - 1/x = 2
Squaring both the sides,
(x - 1/x)² = (2)²
=> x² + 1/x² - 2x × 1/x = 4
=> x² + 1/x² - 2 = 4
=> x² + 1/x² = 4 + 2
=> x² + 1/x² = 6
Again squaring both sides,
(x² + 1/x² )² = (6)²
=> x⁴ + 1/x⁴ + 2x² × 1/x² = 36
=> x⁴ + 1/x⁴ + 2 = 36
=> x⁴ + 1/x⁴ = 36 - 2
=> x⁴ + 1/x⁴ = 34
Hope it helps dear friend ☺️
x - 1/x = 2
Squaring both the sides,
(x - 1/x)² = (2)²
=> x² + 1/x² - 2x × 1/x = 4
=> x² + 1/x² - 2 = 4
=> x² + 1/x² = 4 + 2
=> x² + 1/x² = 6
Again squaring both sides,
(x² + 1/x² )² = (6)²
=> x⁴ + 1/x⁴ + 2x² × 1/x² = 36
=> x⁴ + 1/x⁴ + 2 = 36
=> x⁴ + 1/x⁴ = 36 - 2
=> x⁴ + 1/x⁴ = 34
Hope it helps dear friend ☺️
hnsmaryan:
thnks bro
Welcome bro
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X minus one upon x is
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Its wrong bro u didn't squared 6
but ur concept is correct
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