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because x+1/x=6.therefore (x+1/x)raised to power 2= 36=x square +1/x square +2.therefore x square +1/x square=34.now( x square + 1/x square) raised to power 2=1156=x raised to the power four + 1/x raised to the power four + 2.therefore x raised to the power four + 1/x raised to the power four = 1154.answer
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Answer:
Step-by-step explanation:
x + 1/x = 6
squaring both sides
x² + (1/x)² = 6²
x² + 1/x² + 2× x ×1/x = 36
x² + 1/x² = 34
again squaring both sides
(x²)² + (1/x²)² = 34²
(x²)² + (1/x²)² + 2× x² × 1/x² = 1156
(x²)² + (1/x²)² = 1154
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