[tex]a) \\\\-\frac15x^2=4x /+\frac15x^2\\0=\frac15x^2+4x\\x(\frac15x+4)=0\\x=0\\\\\frac15x+4=0 /-4\\\frac15x=-4 /*5\\x=-20\\\\\ x=0 \text{ v } x=-20[/tex]
[tex]b) \\\\9x^2=4 /:9\\x^2=\frac49 /\sqrt{}\\x=\sqrt{\frac49}\\x=\frac23 \text{ v } x=-\frac23[/tex]
[tex]c) \\\\1+3x^2=0 /-1\\3x^2=-1 /:3\\x^2=-\frac13\\\text{brak rozwiazan}[/tex]
[tex]d) \\\\1-8x^2=0 /-1\\-8x^2=-1 /*(-1)\\8x^2=1 /:8\\x^2=\frac18 /\sqrt{}\\x=\sqrt{\frac18}\\x=\frac{1}{\sqrt8}=\frac{1}{2\sqrt2}=\frac{\sqrt2}4 \text{ v } x=-\frac{\sqrt2}4[/tex]
[tex]e)\\\\4x=9x^2+\frac12x /-4x\\0=9x^2+\frac12x-4x\\9x^2+\frac12x-\frac{8}{2}x=0\\9x^2-\frac72x=0\\x(9x-\frac72)=0\\x=0\\9x-\frac72=0 /+\frac72\\9x=\frac72 /*\frac19\\x=\frac7{18}\\\\x=0 \text{ v } x=\frac7{18}[/tex]
