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(B) For equation $I: 63x - 94\sqrt{x} + 35 = 0$Let $\sqrt{x} = u$. Then $63u^2 - 94u + 35 = 0$.Splitting the middle term: $63u^2 - 45u - 49u + 35 = 0$

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if $x < y$

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(B) For equation $I: 63x - 94\sqrt{x} + 35 = 0$Let $\sqrt{x} = u$. Then $63u^2 - 94u + 35 = 0$.Splitting the middle term: $63u^2 - 45u - 49u + 35 = 0$.$9u(7u - 5) - 7(7u - 5) = 0 \Rightarrow (9u - 7)(7u - 5) = 0$.So,$u = 7/9$ or $u = 5/7$.Thus,$\sqrt{x} = 7/9 \Rightarrow x = 49/81 \approx 0.6049$ and $\sqrt{x} = 5/7 \Rightarrow x = 25/49 \approx 0.5102$.For equation $II: 32y - 52\sqrt{y} + 21 = 0$Let $\sqrt{y} = v$. Then $32v^2 - 52v + 21 = 0$.Splitting the middle term: $32v^2 - 24v - 28v + 21 = 0$.$8v(4v - 3) - 7(4v - 3) = 0 \Rightarrow (8v - 7)(4v - 3) = 0$.So,$v = 7/8$ or $v = 3/4$.Thus,$\sqrt{y} = 7/8 \Rightarrow y = 49/64 \approx 0.7656$ and $\sqrt{y} = 3/4 \Rightarrow y = 9/16 = 0.5625$.Comparing values:$x \in \{0.5102, 0.6049\}$ and $y \in \{0.5625, 0.7656\}$.Since $0.5102 Therefore,the correct option is $B$.

Solve the given two equations and select the correct answer from the given options.
$I. 63x - 94\sqrt{x} + 35 = 0$
$II. 32y - 52\sqrt{y} + 21 = 0$

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Solve the given two equations and select the correct answer from the given options.$I. 63x - 94\sqrt{x} + 35 = 0$$II. 32y - 52\sqrt{y} + 21 = 0$