plz solve this asap 15 points
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(x+ 1/x)^2 = 3
=>x^2 + 1/x^2 + 2 = 3
So, x^2 + 1/x^2 = 3-2=1
=> x^4 + 1 = x^2
=> x^4 - x^2 + 1 = 0
=> x ^6 + 1 = 0 ( multiplying by x^2 + 1)
=> x^ 206 + x^ 200 = x^200(x^6+1) = 0
x^90 + x^ 84 = x^84(x^6+ 1) = 0
x^ 18 + x^ 12 = x^12(x^6+1) = 0
x^6 + 1 = 0
Therefore,the answer is 0.
Hope it helps!
=>x^2 + 1/x^2 + 2 = 3
So, x^2 + 1/x^2 = 3-2=1
=> x^4 + 1 = x^2
=> x^4 - x^2 + 1 = 0
=> x ^6 + 1 = 0 ( multiplying by x^2 + 1)
=> x^ 206 + x^ 200 = x^200(x^6+1) = 0
x^90 + x^ 84 = x^84(x^6+ 1) = 0
x^ 18 + x^ 12 = x^12(x^6+1) = 0
x^6 + 1 = 0
Therefore,the answer is 0.
Hope it helps!
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