Odpowiedź:
[tex]-4x^2-9x-2=0\ \ /\cdot(-1)\\\\4x^2+9x+2=0\\\\a=4\ \ ,\ \ b=9\ \ ,\ \ c=2\\\\\Delta=b^2-4ac\\\\\Delta=9^2-4\cdot4\cdot2=81-32=49\\\\\sqrt{\Delta}=\sqrt{49}=7\\\\x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-9-7}{2\cdot4}=\frac{-16}{8}=-2\\\\x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-9+7}{2\cdot4}=\frac{-2}{8}=-\frac{1}{4}[/tex]
[tex]-36=-9x^2\\\\9x^2-36=0\ \ /:9\\\\x^2-4=0\\\\x^2=4\\\\x=\sqrt{4}\ \ \ \ \vee\ \ \ \ x=-\sqrt{4}\\\\x=2\ \ \ \ \ \ \vee\ \ \ \ x=-2\\\\\\-24x=-8x^2\\\\8x^2-24x=0\ \ /:8\\\\x^2-3x=0\\\\x(x-3)=0\\\\x=0\ \ \ \ \vee\ \ \ \ x-3=0\\\\x=0\ \ \ \ \vee\ \ \ \ x=3[/tex]
