x - [tex] \frac{1}{2} [/tex] = 3
[tex] x^{2} [/tex] + [tex] \frac{1}{x ^{2} } [/tex] = ?
x - [tex] \frac{1}{2} [/tex] = 3 => x = [tex] \frac{3}{1} + \frac{1}{2} [/tex] => [tex] \frac{3}{1} [/tex] se amplifica cu 2 => x = [tex] \frac{6 + 1}{2} [/tex] => x = [tex] \frac{7}{2} [/tex] = 3,5
[tex] x^{2} [/tex] + [tex] \frac{1}{x ^{2} } [/tex] =
= [tex] 3,5^{2} [/tex] + [tex] \frac{1}{3,5 ^{2} } [/tex] =
= [tex] \frac{12,25}{1} + \frac{1}{12,25} [/tex] =
= [tex] \frac{150,0625 + 1}{12,25} [/tex], pentru ca am aplificat cu 12,25 =>
=> [tex] \frac{151,0625}{12,25} [/tex] este rezultatul.
