If x-1/x =4 evaluate:. (I) x²+1/x² please tell I will mark brainliest please tell send a solution
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x - 1/x = 4 ---------------1)
using this formule , (a -b )² = a² + b² - 2ab
(x - 1/x )² = ( x²+ 1/x ² - 2x×1/x
4² = x² + 1/x² - 2
16+ 2 = x² + 1/x²
18 = x² + 1/x² -------2)
And , like that ... (a²)² + (b²)² = (a² + b²) -2a²b²
(x²)²+ (1/x²)² = ( x² + 1/x²) - 2x² ×1/x²
x⁴ + 1/x⁴ = 18² - 2 ----(using 2 )
x⁴ + 1/x⁴ = 324 - 2
x⁴ + 1/x⁴ = 322 Answer
Answered by
0
x - 1/x = 4 ---------------1)
using this formule , (a -b )² = a² + b² - 2ab
(x - 1/x )² = ( x²+ 1/x ² - 2x×1/x
4² = x² + 1/x² - 2
16+ 2 = x² + 1/x²
18 = x² + 1/x² -------2)
And , like that ... (a²)² + (b²)² = (a² + b²) -2a²b²
(x²)²+ (1/x²)² = ( x² + 1/x²) - 2x² ×1/x²
x⁴ + 1/x⁴ = 18² - 2 ----(using 2 )
x⁴ + 1/x⁴ = 324 - 2
x⁴ + 1/x⁴ = 322
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