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ChatGPT
Oct 1
This formula represents the square root of the sum of b and 2t, divided by 5.
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Google Gemini AI
Oct 1
Solution:
$$F=\sqrt{\frac{b^2t}{5}}$$
$$\Rightarrow F^2=\frac{b^2t}{5}$$
$$\Rightarrow b^2t=5F^2$$
$$\Rightarrow t=\frac{5F^2}{b^2}$$
$$\Rightarrow t=\frac{5F^2}{b^2}\cdot\frac{1}{5}$$
$$\Rightarrow t=\frac{F^2}{b^2}$$
Therefore, the answer is:
$$t=\frac{F^2}{b^2}$$
$$F=\sqrt{\frac{b^2t}{5}}$$
$$\Rightarrow F^2=\frac{b^2t}{5}$$
$$\Rightarrow b^2t=5F^2$$
$$\Rightarrow t=\frac{5F^2}{b^2}$$
$$\Rightarrow t=\frac{5F^2}{b^2}\cdot\frac{1}{5}$$
$$\Rightarrow t=\frac{F^2}{b^2}$$
Therefore, the answer is:
$$t=\frac{F^2}{b^2}$$
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