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Answer :
To find the closest point in the equation 625y^(2)-225x^(2)=140.625, rearrange the equation and solve for y in terms of x. Substitute different x values to find the corresponding y values.
To find the closest point in the equation 625y^(2)-225x^(2)=140.625, we need to solve for y in terms of x or vice versa. Let's rearrange the equation to isolate y:
625y^(2) = 140.625 + 225x^(2)
y^(2) = (140.625 + 225x^(2))/625
y = ± √((140.625 + 225x^(2))/625)
Now, you can substitute different x values into this equation to find the corresponding y values. Since we're looking for the closest point, you can try substituting different values of x, starting from 0 and incrementing with small steps, and calculating the corresponding y values. Keep in mind that the equation represents an ellipse, and there will be two corresponding y values for each x value.
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