if x^2+1/x=11 find the value of x^4+1/x^4
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x^2 + 1/x^2 = 11
=>( x^2 + 1/x^2 )^2 = 11^2
=>x^4 + 1/x^4 + 2 × x^2 × 1/x^2 = 121
=>x^4 + 1/x^4 + 2 = 121
=>x^4 + 1/x^4 = 121 - 2
=> x^4 + 1/x^4 = 119
there fore,
x4+1/x4 = 119
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