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ACT Math Practice Question

For all positive values of $a$, $b$, $c$, and $d$, when $\frac{1}{2}ab^2 + c = d$, which of the following expressions is equal to $b$?

  1. A.$\sqrt{\frac{a(d - c)}{2}}$
  2. B.$\sqrt{\frac{2(d - c)}{a}}$
  3. C.$\sqrt{\frac{2d - c}{a}}$
  4. D.$\sqrt{\frac{d - c}{2a}}$

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