Solve for : \sqrt{2x + 9} = x - 3$. What is the valid real solution?

Answer and explanation

Correct answer: B. 8

eq 3\sqrt{27}
eq 6$.
  1. Step 1: Square both sides: . Step 2. Subtract : . Step 3. Check domain: . Therefore is extraneous. Step 4. Valid solution is . Answer: 8. Why not the others: 0 gives which is extraneous; 6 gives $\sqrt{21}

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