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If x-1/x=5 find the value of x^2+1/x^2​

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User Majstor
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1 Answer

4 votes

Answer:

Explanation:


x-(1)/(x)=5\\(x-(1)/(x))^(2)=5^(2) \\x^(2)-2*x*(1)/(x)+ ((1)/(x)) ^(2)=25\\ x^(2)-2+((1)/(x)) ^(2)=25\\x^(2)+((1)/(x)) ^(2)=25+2\\x^(2)+((1)/(x)) ^(2)=27

answered
User Vladimir Shefer
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