The quadratic equation is:
[tex]2x^2-5x+2=0[/tex]Solution:
[tex]\begin{gathered} 2x^2-5x+2=0 \\ 2x^2-4x-x+2=0 \\ 2x(x-2)-1(x-2)=0 \\ (x-2)(2x-1)=0 \end{gathered}[/tex][tex]\begin{gathered} (x-2)=0\text{ ; }(2x-1)=0 \\ x=2\text{ } \\ x=\frac{1}{2} \end{gathered}[/tex]