3
QuizMultiple Choice

Radical Equations — Quiz

Question 3 • Algebra II

Solve the radical equation. m minus 3 is equal to square root of 19 minus 3 m end root Which is an extraneous solution to the radical equation?

Answer
A
m is equal to negative 2
B
There are no extraneous solutions to the equation.
C
m is equal to negative 5
D
m is equal to 5

Explanation

Squaring both sides gives (m − 3)² = 19 − 3m, which simplifies to (m − 5)(m + 2) = 0. The candidates are m = 5 and m = −2; checking m = −2 in the original equation gives −5 = 5, which is false, so m = −2 is extraneous.

AI-written and checked against the verified answer.

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