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Solution
For this case we have the following equations:
[tex]2x^2-8x+5=0[/tex]The solutions are:
[tex]x=\frac{4\pm\sqrt[]{6}}{2}[/tex][tex]2x^2-10x-3=0[/tex]Solutions are:
[tex]x=\frac{5\pm\sqrt[]{31}}{2}[/tex][tex]2x^2-8x-3=0[/tex]Solutions are:
[tex]x=\frac{4\pm\sqrt[]{22}}{2}[/tex][tex]2x^2-9x-1=0[/tex]Solutions are:
[tex]x=\frac{9\pm\sqrt[]{89}}{4}[/tex][tex]2x^2-9x+6=0[/tex]Solutions are:
[tex]x=\frac{9\pm\sqrt[]{33}}{4}[/tex]Then final solutions are:
[tex]\frac{9\pm\sqrt[]{33}}{4}\Rightarrow2x^2-9x+6=0[/tex][tex]\frac{4\pm\sqrt[]{6}}{2}\Rightarrow2x^2-8x+5=0[/tex][tex]\frac{9\pm\sqrt[]{89}}{4}\Rightarrow2x^2-9x-1=0[/tex][tex]\frac{4\pm\sqrt[]{22}}{2}\Rightarrow2x^2-8x-3=0[/tex]