Which of the following is an extraneous solution of open paren 45 minus 3 x close paren raised to the 1 half power is equal to x minus 9 ?

Squaring both sides gives 45 − 3x = (x − 9)², which simplifies to (x − 3)(x − 12) = 0. The candidates are x = 3 and x = 12. Checking x = 3 in the original equation gives 6 = −6, which is false, so x = 3 is extraneous; x = 12 works.

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