Question

sa se ridice la patrat expresia x+1 supra x = 6, si sa se calculeze cât este x la 2 +1 supra x la 2​

Answer 1

 

$\displaystyle\bf\\x+\frac{1}{x}=6~~\Big|~Ridicam~puterea~a~2-a.\\\\\Bigg(x+\frac{1}{x}\Bigg)^2=6^2\\\\x^2+2\cdot x\cdot\frac{1}{x}+\Bigg(\frac{1}{x}\Bigg)^2=6^2\\\\x^2+\frac{2x}{x}+\frac{1}{x^2}=36\\\\x^2+2+\frac{1}{x^2}=36\\\\x^2+\frac{1}{x^2}=36-2\\\\\boxed{\bf x^2+\frac{1}{x^2}=34}$