Rozwiąz rownanie
x(x-4)-2(x+3+4x=x(x-2- 1/2(x2+3)
Pls do 11.30​


Odpowiedź :

[tex]x(x-4)-2(x+3)+4x=x(x-2)-\frac12(x^2+3)\\x^2-4x-2x-6+4x=x^2-2x-\frac12x^2-\frac32\\x^2-x^2+\frac12x^2-6x+4x+2x-6+\frac32=0\\\frac12x^2-\frac92=0 /*2\\x^2-9=0\\\Delta=36\\\sqrt{\Delta}=6\\x_1=\frac{-6}2=-3\\x_2=\frac{6}2=3[/tex]