Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match each quadratic equation with its solution set.2x^2–8x+5=02x^2-10x-3=02x^2-8x-3=02x^2-9x-1=02x^2-9x+6=0

Answer 1

For this case we have the following equations:

`2x^2-8x+5=0`

The solutions are:

`x=\frac{4\pm\sqrt[]{6}}{2}`

`2x^2-10x-3=0`

Solutions are:

`x=\frac{5\pm\sqrt[]{31}}{2}`
`2x^2-8x-3=0`

Solutions are:

`x=\frac{4\pm\sqrt[]{22}}{2}`
`2x^2-9x-1=0`

Solutions are:

`x=\frac{9\pm\sqrt[]{89}}{4}`
`2x^2-9x+6=0`

Solutions are:

`x=\frac{9\pm\sqrt[]{33}}{4}`

Then final solutions are:

`\frac{9\pm\sqrt[]{33}}{4}\Rightarrow2x^2-9x+6=0`
`\frac{4\pm\sqrt[]{6}}{2}\Rightarrow2x^2-8x+5=0`
`\frac{9\pm\sqrt[]{89}}{4}\Rightarrow2x^2-9x-1=0`
`\frac{4\pm\sqrt[]{22}}{2}\Rightarrow2x^2-8x-3=0`