Solve the equation:  sqrt(2x - 5) - sqrt(x - 3) = 1 If there is more than one solution, enter your solutions separated by a comma. If ther is no solution, enter "none".

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Solve `sqrt(2x - 5) -sqrt(x-3) = 1`

`(sqrt(2x - 5) -sqrt(x-3))^2 = 1^2`

`2x - 5 - 2sqrt(2x^2 - 11x + 15) + x - 3 = 1`

`3x - 8 - 2sqrt(2x^2 - 11x + 15) = 1`

`3x - 9 = 2sqrt(2x^2 - 11x + 15)`

`(3x - 9)^2 = (2sqrt(2x^2 - 11x + 15))^2`

`9x^2 - 54x + 81 = 4(2x^2 -11x + 15)`

`9x^2 - 54x + 81 = 8x^2 - 44x + 60`

`x^2 - 10x + 21 = 0`

`(x - 3) (x - 7) = 0`

`x = 3 and x = 7`

The solutions to the equation are 3 and 7, or `x = 3, 7`

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