93.7k views
1 vote
If x-1/x=5 find the value of x^2+1/x^2​

User Majstor
by
5.0k points

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

User Vladimir Shefer
by
5.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.