# SOLUTION: Find all real number solutions of the equation algebraically. {{{ sqrt(2x+1) }}} - {{{ sqrt(x+1) }}} = 2 I found that x = 0 and x = 8 but both solutions are extraneous and

Algebra ->  Algebra  -> Radicals -> SOLUTION: Find all real number solutions of the equation algebraically. {{{ sqrt(2x+1) }}} - {{{ sqrt(x+1) }}} = 2 I found that x = 0 and x = 8 but both solutions are extraneous and       Log On

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Radicals Question 188628: Find all real number solutions of the equation algebraically. - = 2 I found that x = 0 and x = 8 but both solutions are extraneous and therefore I think the equation has no solution. Is this correct? Answer by solver91311(17077)   (Show Source): You can put this solution on YOUR website! Square both sides: Simplify: Square both sides: Root is extraneous Answer checks. This problem brings to mind a very interesting brain teaser. The number 48 is very special. If you add 1, you get 49 which is a perfect square. If you divide it by 2 and then add 1, you get another perfect square (48/2 = 24, 24 + 1 = 25). Find three other integers with the same property. John