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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

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$b^2+6c=7d$

The given equation relates the real numbers $b$, $c$, and $d$, where $d>\frac{6}{7}c$. Which equation correctly expresses $b$ in terms of $c$ and $d$?

A

$b=\frac{7d-6c}{2}$

B

$b=\frac{7d+6c}{2}$

C

$b=\pm \sqrt{7d-6c}$

D

$b=\pm \sqrt{7d+6c}$