Given the equation square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution. (2 points)
x = 4, solution is extraneous
x = 4, solution is not extraneous
x = 5, solution is extraneous
x = 5, solution is not extraneous

ANSWER

x = 4, solution is not extraneous

EXPLANATION

The given equation is

Square both sides of the equation.

Group similar terms,

Divide both sides by 2.

Check

Put x=4 into the original equation.

This statement is true.

Hence x=4 is not an extraneous solution.

Second choice is correct.

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