[tex]a)\\\\9x^2+3x=2\\9x^2+3x-2=0\\\Delta=3^2-4*9*(-2)=9+72=81\\\sqrt{\Delta}=9\\x_1=\frac{-3-9}{18}=\frac{-12}{18}=-\frac23\\x_2=\frac{-3+9}{18}=\frac6{18}=\frac13[/tex]
[tex]b)\\\\\frac34x^2=2x-3\\\frac34x^2-2x+3=0\\\Delta=(-2)^2-4*\frac34*3=4-3*3=4-9=-5\\\text{Brak rozwiazan}[/tex]
[tex]c)\\49+9x^2=42x\\9x^2-42x+49=0\\\Delta=(-42)^2-4*9*49=1764-1764=0\\x_0=\frac{42}{18}=\frac{14}{6}=2\frac23[/tex]
