If x-1/x = √5, find the value of x^2+1/x^2
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Step-by-step explanation:
[tex]x {}^{2} + \frac{1}{x {}^{2} } \\ = (x — \frac{1}{x} ) {}^{2} + 2 \times x \times \frac{1}{x} \\ = ( \sqrt{5} ) {}^{2} + 2 \\ = 5 + 2 = 7[/tex]