Question 245925
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{7x\ +\ 29}\ =\ x\ +\ 3]


Square both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 7x\ +\ 29\ =\ x^2\ +\ 6x\ +\ 9]


Collect like terms and put in standard form:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ x\ -\ 20\ =\ 0]


Solve the factorable quadratic.  Remember to check BOTH roots in the original equation to ensure that an extraneous root was not introduced in the process of squaring the equation.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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