Answer:
x1 = -2; x2 = [tex]\frac{1}{5}[/tex] or 0.5
Step-by-step explanation:
[tex]2x^{2}+3x=2[/tex]
[tex]2x^{2} +3x-2=0[/tex]
[tex]D=b^{2} -4ac[/tex]
[tex]D=3^{2}-4*2*(-2)[/tex]
[tex]D=9+16=25=5^{2}[/tex]
[tex]x=\frac{-b+-\sqrt{D} }{2a}[/tex]
[tex]x=\frac{-3+5}{2*2} =\frac{2}{4} =\frac{1}{2} = 0.5[/tex]
[tex]x=\frac{-3-5}{2*2}=-\frac{8}{4} =-2[/tex]
x1 = -2; x2 = [tex]\frac{1}{5}[/tex] or 0.5
