Question

x-1/xlapatrat-1=x/6
Bara / insemna supra
Ps :Ex e o ecuatie de gradul doi.
Mie nu-mi da ca la final
Ms anticipat!

Answer 1

X-1/(x-1)(x+1)=x/6, 1/x+1=x/6, 6=x^2+x, x^2+x-6=0, delta=1+24=25, x1=-1+5/2=2, x2=-1-5/2=-3.

Answer 2

 [tex]\frac{x-1}{x^2-1}=\frac{x}{6}\;\;\;(pt.\;x\ne\pm1)\\ \Leftrightarrow\;\frac{x\not-1}{(x\not-1)(x+1)}=\frac{x}{6} \rightarrow\;x(x+1)=6\;\;!\\ adic\u{a}:\;produsul\,a\, dou\u{a}\;numere\;intregi\;consecutive\\este:\; 6=2\cdot3=-3\cdot(-2)\Rightarrow\;x=\{2;-3\} [/tex]