Advanced Math practice question

Answer: A. x = 4 and x = −1

Multiply both sides by (x − 3): 4 = x(x − 3) = x² − 3x, so x² − 3x − 4 = 0, which factors as (x − 4)(x + 1) = 0. Both x = 4 and x = −1 check: 4/1 = 4 and 4/(−4) = −1.

Why the other answers are wrong

B. x = 4 only

x = −1 also works: 4/(−1 − 3) = −1.

C. x = 7 only

7 comes from 4 = x − 3 (dropping the x on the right). The right side is x, so 4 = x(x − 3).

D. x = 3 and x = 4

x = 3 is excluded — it makes the denominator zero.

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