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Mathematics, 19.08.2021 05:10 kristynwoodrufp10xsy

Caleb is solving the following equation for xxx. x=\sqrt{x+2}+7x= x+2 ​ +7x, equals, square root of, x, plus, 2, end square root, plus, 7 His first few steps are given below. \begin{aligned}x-7&=\sqrt{x+2}\ \ \\ (x-7)^2&=(\sqrt{x+2})^2\\ \\ x^2-14x+49&=x+2 \end{aligned} x−7 (x−7) 2 x 2 −14x+49 ​ = x+2 ​ =( x+2 ​ ) 2 =x+2 ​ Is it necessary for Caleb to check his answers for extraneous solutions?

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