Advanced MathMediumSolving a rational equation
Advanced Math practice question
If 12/(x − 4) = 3 and x ≠ 4, what is the value of x?
Answer: 8
Multiply both sides by (x − 4): 12 = 3(x − 4) = 3x − 12, so 3x = 24 and x = 8.
Common wrong answers
- If you answered 0
- 0 comes from 12 = 3x − 12 solved as 3x = 0 (a sign slip); 12 + 12 = 24.
- If you answered 4
- 4 is excluded — it makes the denominator zero.
- If you answered 7
- 7 comes from 12 ÷ 4 = 3 then 3 + 4, which misreads the equation.
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