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Math·Advanced Math·Equivalent expressions

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$$z=\sqrt{y+47x}$$

The given equation relates the distinct positive values $x,y$, and $z$. Which equation correctly expresses $x$ in terms of $y$ and $z$?

A

$x=47z^2-y$

B

$x=47z-y^2$

C

$x=\frac{z^2-y}{47}$

D

$x=\frac{z-y^2}{47}$