Question

Daca x + x/1=11 , x nu este egal cu 0 , calculeaza x^2 + 1/x^2=

Answer 1

[tex]x+\frac{1}{x}=11|()^2\\ x^2+2\cdot x\cdot \frac{1}{x}+\frac{1}{x^2}=121\\ x^2+\frac{1}{x^2}+2=121\\ \boxed{x^2+\frac{1}{x^2}=119}[/tex]