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z²-z+0,25 descompuneti in factori polinomul


Răspuns :

z²-z+0,25=z²-2x0,5xz+0,25=(z-o,5)²
Avem: [tex] Z^{2}-Z+0,25= Z^{2}-2* \frac{1}{2}Z+( \frac{1}{2})^2=(Z- \frac{1}{2})^2 [/tex], deoarece 0,25=25/100=1/4=[tex]( \frac{1}{2})^2 [/tex]