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Math·Advanced Math·Equivalent expressions

hard

The given equation relates the real numbers $b$, $c$, and $d$, where $d>\frac{5}{6}c$. Which equation correctly expresses $b$ in terms of $c$ and $d$? $b^2+5c=6d$

A

$b=\frac{6d-5c}{2}$

B

$b=\frac{6d+5c}{2}$

C

$b=\pm \sqrt{6d-5c}$

D

$b=\pm \sqrt{6d+5c}$