Odpowiedź:
[tex]zad.a\\x^{2} -3x=0\\\\x(x-3)=0\\\\x=0~~ \lor ~~x-3=0\\\\x=0~~ \lor ~~x=3\\\\zad.c\\-7x+14x^{2} =0 ~~\mid\div7\\\\2x^{2} -x=0\\\\x(2x-1)=0\\\\x=0~~\lor~~2x-1=0\\\\x=0~~\lor~~x=\frac{1}{2} \\\\zad.b\\5x^{2} +12x=0\\\\x(5x+12)=0\\\\x=0~~\lor~~5x+12=0\\\\x=0~~\lor~~x= -\frac{12}{5} \\\\x=0~~\lor~~x= -2\frac{2}{5} \\\\zad.d\\9x^{2} =x\\\\9x^{2} -x=0\\\\x(9x-1)=0\\\\x=0~~\lor~~9x-1=0\\\\x=0~~\lor~~x=\frac{1}{9} \\\\[/tex]
[tex]zad.e\\4x^{2} -5x=10x\\\\4x^{2} -5x-10x=0\\\\4x^{2} -15x=0\\\\x(4x-15)=0\\\\x=0~~\lor~~4x-15=0\\\\x=0~~\lor~~ x=\frac{15}{4} \\\\x=0~~\lor~~x=3\frac{3}{4} \\\\zad.f\\6x^{2} +8x=x^{2} -13x\\\\6x^{2} +8x-x^{2} +13x=0\\\\5x^{2} +21x=0\\\\x(5x+21)=0\\\\x=0~~\lor~~5x+21=0\\\\x=0~~\lor~~x=-\frac{21}{5} \\\\x=0~~\lor~~x=-4\frac{1}{5}[/tex]
