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1 Answer
Apr 2, 2018

x = 8

Explanation:

One way to solve sqrt(3x+1)=x-3 is by squaring both equation terms or

3x+1 = (x-3)^2

This operation is responsible for the introduction of strange solutions because solving

x^2-6x+9 = 3x+1 rArr x^2-9x+8=0 we have

x^2-6x+9 =(x-1)(x-8)=0 and after substitution in the initial equation we conclude that x = 1 is not feasible and the solution is x = 8