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13 \text { if } x + \frac { 1 } { x } = 4 , \text { then find } x ^ { 4 } + \frac { 1 } { x ^ { 4 } } |
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Answer» x+1/x = 4 => (x²+1/x² +2*x*1/x) = 4²=> x²+1/x² + 2 = 16=> x²+1/x² = 16-2 = 14=> (x²+1/x²)² = 14²=> x⁴+1/x⁴ +2 = 196=> x⁴+1/x⁴ = 196-2 = 194 |
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