[tex]2x^2-5x-3=0 \\ \\ a=2 \\ b=-5 \\ c=-3 \\ \\ \Delta=b^2-4ac \\ \Delta=(-5)^2-4\cdot2\cdot(-3) \\ \Delta=25+24 \\ \Delta=49 \\ \\ \boxed{X_{1,2} = \frac{-b \pm \sqrt{\Delta} }{2a} = \frac{5 \pm 7}{2\cdot2} = } \\ \\ \\ \boxed{X_1= \frac{12}{4}=3 \in N} \\ \\ \\ \boxed{X_2= \frac{-2}{4}= -\frac{1}{2} \in Q} \\ [/tex]
