Question

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Answer 1

`\boxed{2\pm (√(2))/(2)}`

Explanation:

`2x^2-8x=-7`

`\sf Add \ 7 \ on \ both \ sides}.`

`2x^2-8x+7=-7+7`

`2x^2-8x+7=0`

`ax^2 +bx+c=0`

`\sf Apply \ quadratic \ formula.`

`a=2 \ \ \ b=-8 \ \ \ c = 7`

`x=(-b\pm√(b^2-4ac))/(2a)`

`x=(-(-8)\pm√((-8)^2-4(2)(7)))/(2(2))`

`x=(8\pm√(64-56))/(4)`

`x=(8\pm√(8))/(4)`

`x=(8\pm2√(2))/(4)`

`x=2\pm (√(2))/(2)`